AlgebraHardEquation with two fractions subtracted
Algebra practice question
If (x + 4)/3 − (x − 2)/5 = 4, what is the value of x?
Answer: 17
Multiply by 15: 5(x + 4) − 3(x − 2) = 60 → 5x + 20 − 3x + 6 = 60 → 2x = 34 → x = 17.
Common wrong answers
- If you answered 7
- 7 comes from 2x = 14, subtracting 6 instead of adding it.
- If you answered 23
- 23 comes from 5x + 20 − 3x − 6 = 60, not distributing the minus sign to −2.
- If you answered 34
- 34 is 2x, before dividing by 2.
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