AlgebraMediumEquation with fractions on both sides
Algebra practice question
If (x − 3)/4 = (x + 1)/6, what is the value of x?
Answer: 11
Cross-multiply: 6(x − 3) = 4(x + 1) → 6x − 18 = 4x + 4 → 2x = 22 → x = 11. Check: 8/4 = 2 and 12/6 = 2.
Common wrong answers
- If you answered 2
- 2 is the common value of both sides, not x.
- If you answered 7
- 7 comes from 6x − 18 = 4x + 4 solved as 2x = 14, dropping the sign of −18.
- If you answered -7
- −7 comes from 2x = −14, mishandling the constants.
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