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5x-3=\frac{2}{5}
Divide both sides by 5.
5x=\frac{2}{5}+3
Add 3 to both sides.
5x=\frac{2}{5}+\frac{15}{5}
Convert 3 to fraction \frac{15}{5}.
5x=\frac{2+15}{5}
Since \frac{2}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.
5x=\frac{17}{5}
Add 2 and 15 to get 17.
x=\frac{\frac{17}{5}}{5}
Divide both sides by 5.
x=\frac{17}{5\times 5}
Express \frac{\frac{17}{5}}{5} as a single fraction.
x=\frac{17}{25}
Multiply 5 and 5 to get 25.