Solve for x in the equation: (x + 2)/3 - (x - 1)/4 = 1.
Answer and explanation
Correct answer: B. 1
- Step 1: Multiply through by 12: 4(x + 2) - 3(x - 1) = 12. Step 2. Expand: 4x + 8 - 3x + 3 = 12. Step 3. Combine: x + 11 = 12 => x = 1. Answer: 1. Why not the others: 2 gives 4/3 - 1/4 = 13/12 ≠ 1; 0 gives 2/3 + 1/4 = 11/12 ≠ 1; -1 gives 1/3 + 2/4 = 5/6 ≠ 1.
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