Solve for x in the equation: x – (1 – 3x/2)/4 = (2 – x/4)/3 – 11/2

JAMB Mathematics 2024 335 views
Source: JAMB · 2024

Solve for x in the equation: x – (1 – 3x/2)/4 = (2 – x/4)/3 – 11/2

  1. -1/3
  2. 7/35
  3. -22/7 ✓
  4. 3/4
Explanation

Clear the fractions by multiplying everything by 24: 24x – 6(1 – 3x/2) = 8(2 – x/4) – 132.

Expand: 24x – 6 + 9x = 16 – 2x – 132. This gives 33x – 6 = -2x – 116.

Collect terms: 35x = -110, so x = -22/7.

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