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-x=\frac{1}{12}-\frac{5}{12}
Subtract \frac{5}{12} from both sides.
-x=\frac{1-5}{12}
Since \frac{1}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.
-x=\frac{-4}{12}
Subtract 5 from 1 to get -4.
-x=-\frac{1}{3}
Reduce the fraction \frac{-4}{12} to lowest terms by extracting and canceling out 4.
x=\frac{1}{3}
Multiply both sides by -1.