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\frac{1}{6}x=\frac{3}{12}
Combine \frac{5}{6}x and -\frac{2}{3}x to get \frac{1}{6}x.
\frac{1}{6}x=\frac{1}{4}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.
x=\frac{1}{4}\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}.
x=\frac{6}{4}
Multiply \frac{1}{4} and 6 to get \frac{6}{4}.
x=\frac{3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.