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5x-\frac{2}{5}=1
Swap sides so that all variable terms are on the left hand side.
5x=1+\frac{2}{5}
Add \frac{2}{5} to both sides.
5x=\frac{5}{5}+\frac{2}{5}
Convert 1 to fraction \frac{5}{5}.
5x=\frac{5+2}{5}
Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
5x=\frac{7}{5}
Add 5 and 2 to get 7.
x=\frac{\frac{7}{5}}{5}
Divide both sides by 5.
x=\frac{7}{5\times 5}
Express \frac{\frac{7}{5}}{5} as a single fraction.
x=\frac{7}{25}
Multiply 5 and 5 to get 25.