Solve for x
x=1
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\frac{3}{5}x=1-\frac{2}{5}
Subtract \frac{2}{5} from both sides.
\frac{3}{5}x=\frac{5}{5}-\frac{2}{5}
Convert 1 to fraction \frac{5}{5}.
\frac{3}{5}x=\frac{5-2}{5}
Since \frac{5}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{5}x=\frac{3}{5}
Subtract 2 from 5 to get 3.
x=\frac{3}{5}\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
x=1
Cancel out \frac{3}{5} and its reciprocal \frac{5}{3}.
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