16Hit1600
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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