AlgebraHardEquation with two fractions
Algebra practice question
If (2x − 1)/3 = (x + 4)/2, what is the value of x?
Answer: 14
Cross-multiply: 2(2x − 1) = 3(x + 4), so 4x − 2 = 3x + 12 and x = 14.
Common wrong answers
- If you answered 2
- 2 comes from equating numerators without cross-multiplying.
- If you answered 10
- 10 comes from 4x − 2 = 3x + 8, mis-multiplying 3 × 4.
- If you answered -14
- −14 has the sign wrong when moving −2 across.
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