Solve for x: (2x - 1) / 3 - (x + 2) / 4 = 1.
Answer and explanation
Correct answer: C. x = 22/5
- Step 1: Multiply all terms by the common denominator 12: 4(2x - 1) - 3(x + 2) = 12. Step 2. Expand: 8x - 4 - 3x - 6 = 12 => 5x - 10 = 12 => 5x = 22 => x = 22/5. Answer: x = 22/5. Why not the others: Failing to distribute the negative sign to +2 yields 5x - 2 = 12 => 5x = 14.
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