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\frac{1}{3}x=\frac{5}{6}
Add \frac{5}{6} to both sides. Anything plus zero gives itself.
x=\frac{5}{6}\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}.
x=\frac{5\times 3}{6}
Express \frac{5}{6}\times 3 as a single fraction.
x=\frac{15}{6}
Multiply 5 and 3 to get 15.
x=\frac{5}{2}
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.