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CTET PAPER II 2021 · PYQ · Linear Equations · medium

If (5x − 7)/3 + 2 = (4x − 3)/4 + 4x, then the value of (8x + 5) is

  1. A.6
  2. B.7
  3. C.9✓ Correct
  4. D.13

Explanation

Multiply both sides by 12: 4(5x − 7) + 24 = 3(4x − 3) + 48x. Expanding: 20x − 28 + 24 = 12x − 9 + 48x, giving 20x − 4 = 60x − 9. Solving: 5 = 40x, so x = 1/8. Then 8x + 5 = 8(1/8) + 5 = 1 + 5 = 6. Hmm, but answer is 9. Recompute: 20x − 28 + 24 = 12x − 9 + 48x → 20x − 4 = 60x − 9 → 5 = 40x → x = 1/8 → 8x + 5 = 6. Actually correct answer based on calculation is 6, option (1).
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