AlgebraHardFractions on both sides
Algebra practice question
If (x + 4)/2 = (x − 1)/3, what is the value of x?
Answer: -14 or −14
Cross-multiply: 3(x + 4) = 2(x − 1), so 3x + 12 = 2x − 2. Subtract 2x: x + 12 = −2, so x = −14. Check: (−10)/2 = −5 and (−15)/3 = −5.
Common wrong answers
- If you answered 5
- 5 is the common value of both sides at the solution, not x itself.
- If you answered 14
- 14 has the wrong sign: x + 12 = −2 gives x = −14.
- If you answered -10
- −10 comes from 3x + 12 = 2x + 2, dropping the sign of the −1.
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