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\frac{1}{5}-x=40
Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.
-x=40-\frac{1}{5}
Subtract \frac{1}{5} from both sides.
-x=\frac{200}{5}-\frac{1}{5}
Convert 40 to fraction \frac{200}{5}.
-x=\frac{200-1}{5}
Since \frac{200}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.
-x=\frac{199}{5}
Subtract 1 from 200 to get 199.
x=-\frac{199}{5}
Multiply both sides by -1.