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x-\frac{x}{5}=1
Subtract \frac{x}{5} from both sides.
\frac{4}{5}x=1
Combine x and -\frac{x}{5} to get \frac{4}{5}x.
x=1\times \frac{5}{4}
Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.
x=\frac{5}{4}
Multiply 1 and \frac{5}{4} to get \frac{5}{4}.