{
  "title": "Equations with Variables on Both Sides (Linear Equations) - Grade 8 CBSE",
  "total_questions": 60,
  "questions": [

    { "id": 1, "difficulty": "easy", "question": "Solve: 3x + 5 = 2x + 10", "options": {"A": "x = 5", "B": "x = 10", "C": "x = -5", "D": "x = 0"}, "correct_answer": "A" },
    { "id": 2, "difficulty": "easy", "question": "Solve: 4x - 3 = 2x + 7", "options": {"B": "x = 5", "A": "x = 3", "C": "x = 7", "D": "x = -2"}, "correct_answer": "B" },
    { "id": 3, "difficulty": "easy", "question": "Solve: 5x + 2 = 3x + 12", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = -3"}, "correct_answer": "C" },
    { "id": 4, "difficulty": "easy", "question": "Solve: 6x − 4 = 2x + 12", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "D" },
    { "id": 5, "difficulty": "easy", "question": "Solve: 7x + 1 = 3x + 17", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "A" },
    { "id": 6, "difficulty": "easy", "question": "Solve: 8x − 10 = 2x + 8", "options": {"A": "x = 3", "B": "x = 2", "C": "x = 4", "D": "x = 5"}, "correct_answer": "B" },
    { "id": 7, "difficulty": "easy", "question": "Solve: 9x + 4 = 5x + 20", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 3"}, "correct_answer": "C" },
    { "id": 8, "difficulty": "easy", "question": "Solve: 10x − 6 = 4x + 18", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "D" },
    { "id": 9, "difficulty": "easy", "question": "Solve: 11x + 3 = 5x + 33", "options": {"A": "x = 5", "B": "x = 4", "C": "x = 6", "D": "x = 7"}, "correct_answer": "A" },
    { "id": 10, "difficulty": "easy", "question": "Solve: 12x − 8 = 6x + 16", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "B" },

    { "id": 11, "difficulty": "easy", "question": "Solve: 4x + 7 = 2x + 17", "options": {"A": "x = 5", "B": "x = 4", "C": "x = 7", "D": "x = 6"}, "correct_answer": "C" },
    { "id": 12, "difficulty": "easy", "question": "Solve: 5x − 3 = 3x + 9", "options": {"A": "x = 7", "B": "x = 6", "C": "x = 5", "D": "x = 4"}, "correct_answer": "D" },
    { "id": 13, "difficulty": "easy", "question": "Solve: 6x + 2 = 4x + 18", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 6", "D": "x = 5"}, "correct_answer": "A" },
    { "id": 14, "difficulty": "easy", "question": "Solve: 7x − 9 = 2x + 16", "options": {"A": "x = 5", "B": "x = 6", "C": "x = 7", "D": "x = 8"}, "correct_answer": "B" },
    { "id": 15, "difficulty": "easy", "question": "Solve: 3x + 12 = x + 20", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "C" },
    { "id": 16, "difficulty": "easy", "question": "Solve: 8x + 6 = 2x + 42", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "D" },
    { "id": 17, "difficulty": "easy", "question": "Solve: 9x − 5 = 4x + 20", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "A" },
    { "id": 18, "difficulty": "easy", "question": "Solve: 10x + 3 = 6x + 19", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "B" },
    { "id": 19, "difficulty": "easy", "question": "Solve: 11x − 7 = 5x + 25", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "C" },
    { "id": 20, "difficulty": "easy", "question": "Solve: 12x + 4 = 7x + 29", "options": {"A": "x = 5", "B": "x = 4", "C": "x = 6", "D": "x = 7"}, "correct_answer": "D" },

    { "id": 21, "difficulty": "medium", "question": "Solve: 5(x − 2) = 3(x + 4)", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "A" },
    { "id": 22, "difficulty": "medium", "question": "Solve: 4(x + 3) = 2(2x + 11)", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "B" },
    { "id": 23, "difficulty": "medium", "question": "Solve: 7(x − 1) = 5(x + 3)", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "C" },
    { "id": 24, "difficulty": "medium", "question": "Solve: 6(x + 2) = 3(2x + 10)", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "D" },
    { "id": 25, "difficulty": "medium", "question": "Solve: 8(x − 4) = 4(x + 8)", "options": {"A": "x = 12", "B": "x = 14", "C": "x = 16", "D": "x = 18"}, "correct_answer": "A" },
    { "id": 26, "difficulty": "medium", "question": "Solve: 9(x + 3) = 3(3x + 19)", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "B" },
    { "id": 27, "difficulty": "medium", "question": "Solve: 10(x − 5) = 2(5x − 3)", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "C" },
    { "id": 28, "difficulty": "medium", "question": "Solve: 3(2x − 3) = 2(3x + 5)", "options": {"A": "x = −1", "B": "x = 0", "C": "x = 1", "D": "x = 2"}, "correct_answer": "D" },
    { "id": 29, "difficulty": "medium", "question": "Solve: 4(3x + 1) = 2(6x + 9)", "options": {"A": "x = −2", "B": "x = −1", "C": "x = 0", "D": "x = 1"}, "correct_answer": "A" },
    { "id": 30, "difficulty": "medium", "question": "Solve: 5(2x − 1) = 3(3x + 4)", "options": {"A": "x = −2", "B": "x = −1", "C": "x = 0", "D": "x = 1"}, "correct_answer": "B" },

    { "id": 31, "difficulty": "medium", "question": "Solve: 7(2x − 3) = 5(3x − 1)", "options": {"A": "x = −4", "B": "x = −3", "C": "x = −2", "D": "x = −1"}, "correct_answer": "C" },
    { "id": 32, "difficulty": "medium", "question": "Solve: 6(3x + 1) = 4(4x + 5)", "options": {"A": "x = −3", "B": "x = −2", "C": "x = −1", "D": "x = 0"}, "correct_answer": "D" },
    { "id": 33, "difficulty": "medium", "question": "Solve: 8(x − 2) = 6(x + 1)", "options": {"A": "x = 5", "B": "x = 6", "C": "x = 7", "D": "x = 8"}, "correct_answer": "A" },
    { "id": 34, "difficulty": "medium", "question": "Solve: 9(2x + 1) = 3(6x + 11)", "options": {"A": "x = 3", "B": "x = 4", "C": "x = 5", "D": "x = 6"}, "correct_answer": "B" },
    { "id": 35, "difficulty": "medium", "question": "Solve: 10(x + 3) = 5(2x + 18)", "options": {"A": "x = 6", "B": "x = 7", "C": "x = 8", "D": "x = 9"}, "correct_answer": "C" },
    { "id": 36, "difficulty": "medium", "question": "Solve: 4(3x − 2) = 2(6x + 8)", "options": {"A": "x = −3", "B": "x = −2", "C": "x = −1", "D": "x = 0"}, "correct_answer": "D" },
    { "id": 37, "difficulty": "medium", "question": "Solve: 7(x + 4) = 5(x + 10)", "options": {"A": "x = −10", "B": "x = −5", "C": "x = 0", "D": "x = 5"}, "correct_answer": "A" },
    { "id": 38, "difficulty": "medium", "question": "Solve: 6(2x − 1) = 3(4x + 7)", "options": {"A": "x = −4", "B": "x = −3", "C": "x = −2", "D": "x = −1"}, "correct_answer": "B" },
    { "id": 39, "difficulty": "medium", "question": "Solve: 5(3x + 2) = 2(6x + 11)", "options": {"A": "x = −3", "B": "x = −2", "C": "x = −1", "D": "x = 0"}, "correct_answer": "C" },
    { "id": 40, "difficulty": "medium", "question": "Solve: 3(4x + 5) = 2(6x + 11)", "options": {"A": "x = −2", "B": "x = −1", "C": "x = 0", "D": "x = 1"}, "correct_answer": "D" },

    { "id": 41, "difficulty": "hard", "question": "Solve: 2x − 3 = (x + 5)/2", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "A" },
    { "id": 42, "difficulty": "hard", "question": "Solve: (3x − 2)/2 = (x + 6)/3", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "B" },
    { "id": 43, "difficulty": "hard", "question": "Solve: (4x + 3)/5 = (2x + 9)/3", "options": {"A": "x = 4", "B": "x = 5", "C": "x = 6", "D": "x = 7"}, "correct_answer": "C" },
    { "id": 44, "difficulty": "hard", "question": "Solve: (5x − 7)/4 = (3x + 9)/2", "options": {"A": "x = 6", "B": "x = 7", "C": "x = 8", "D": "x = 9"}, "correct_answer": "D" },
    { "id": 45, "difficulty": "hard", "question": "Solve: (7x + 5)/3 = (4x + 23)/2", "options": {"A": "x = 7", "B": "x = 8", "C": "x = 9", "D": "x = 10"}, "correct_answer": "A" },
    { "id": 46, "difficulty": "hard", "question": "Solve: (9x − 4)/6 = (5x + 20)/4", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "B" },
    { "id": 47, "difficulty": "hard", "question": "Solve: (3x + 7)/2 = (x + 25)/3", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "C" },
    { "id": 48, "difficulty": "hard", "question": "Solve: (5x − 9)/3 = (2x + 21)/5", "options": {"A": "x = 12", "B": "x = 13", "C": "x = 14", "D": "x = 15"}, "correct_answer": "D" },
    { "id": 49, "difficulty": "hard", "question": "Solve: (7x − 3)/4 = (3x + 29)/6", "options": {"A": "x = 11", "B": "x = 12", "C": "x = 13", "D": "x = 14"}, "correct_answer": "A" },
    { "id": 50, "difficulty": "hard", "question": "Solve: (9x + 5)/7 = (4x + 40)/5", "options": {"A": "x = 15", "B": "x = 16", "C": "x = 17", "D": "x = 18"}, "correct_answer": "B" },

    { "id": 51, "difficulty": "hard", "question": "Solve: (4x + 15)/6 = (3x + 25)/4", "options": {"A": "x = 14", "B": "x = 15", "C": "x = 16", "D": "x = 17"}, "correct_answer": "C" },
    { "id": 52, "difficulty": "hard", "question": "Solve: (6x − 5)/5 = (2x + 35)/3", "options": {"A": "x = 20", "B": "x = 21", "C": "x = 22", "D": "x = 23"}, "correct_answer": "D" },
    { "id": 53, "difficulty": "hard", "question": "Solve: (8x + 9)/7 = (5x + 51)/6", "options": {"A": "x = 15", "B": "x = 16", "C": "x = 17", "D": "x = 18"}, "correct_answer": "A" },
    { "id": 54, "difficulty": "hard", "question": "Solve: (10x − 11)/8 = (3x + 41)/5", "options": {"A": "x = 12", "B": "x = 13", "C": "x = 14", "D": "x = 15"}, "correct_answer": "B" },
    { "id": 55, "difficulty": "hard", "question": "Solve: (11x + 13)/9 = (4x + 56)/6", "options": {"A": "x = 17", "B": "x = 18", "C": "x = 19", "D": "x = 20"}, "correct_answer": "C" },
    { "id": 56, "difficulty": "hard", "question": "Solve: (12x − 17)/10 = (5x + 63)/7", "options": {"A": "x = 16", "B": "x = 17", "C": "x = 18", "D": "x = 19"}, "correct_answer": "D" },
    { "id": 57, "difficulty": "hard", "question": "Solve: (13x + 21)/11 = (6x + 78)/7", "options": {"A": "x = 15", "B": "x = 16", "C": "x = 17", "D": "x = 18"}, "correct_answer": "A" },
    { "id": 58, "difficulty": "hard", "question": "Solve: (14x − 19)/12 = (7x + 91)/8", "options": {"A": "x = 18", "B": "x = 19", "C": "x = 20", "D": "x = 21"}, "correct_answer": "B" },
    { "id": 59, "difficulty": "hard", "question": "Solve: (15x + 23)/13 = (8x + 104)/9", "options": {"A": "x = 19", "B": "x = 20", "C": "x = 21", "D": "x = 22"}, "correct_answer": "C" },
    { "id": 60, "difficulty": "hard", "question": "Solve: (16x − 25)/14 = (9x + 117)/10", "options": {"A": "x = 20", "B": "x = 21", "C": "x = 22", "D": "x = 23"}, "correct_answer": "D" }

  ]
}