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