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0=-\frac{1}{3}x+\frac{1}{6}
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.
-\frac{1}{3}x+\frac{1}{6}=0
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{3}x=-\frac{1}{6}
Subtract \frac{1}{6} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{1}{6}\left(-3\right)
Multiply both sides by -3, the reciprocal of -\frac{1}{3}.
x=\frac{-\left(-3\right)}{6}
Express -\frac{1}{6}\left(-3\right) as a single fraction.
x=\frac{3}{6}
Multiply -1 and -3 to get 3.
x=\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.