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5x=5-\frac{2}{5}
Subtract \frac{2}{5} from both sides.
5x=\frac{25}{5}-\frac{2}{5}
Convert 5 to fraction \frac{25}{5}.
5x=\frac{25-2}{5}
Since \frac{25}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{23}{5}
Subtract 2 from 25 to get 23.
x=\frac{\frac{23}{5}}{5}
Divide both sides by 5.
x=\frac{23}{5\times 5}
Express \frac{\frac{23}{5}}{5} as a single fraction.
x=\frac{23}{25}
Multiply 5 and 5 to get 25.