Answer
$x=3$
Work Step by Step
$\frac{3x}{5}-\frac{2}{5}=\frac{x}{3}+\frac{2}{5}\\\frac{9x}{15}-\frac{6}{15}=\frac{5x}{15}+\frac{6}{15}\\\frac{4x}{15}=\frac{12}{15}\\4x=12\\x=3$
Check by plugging it in into the original equation: $\frac{3\cdot3}{5}-\frac{2}{5}=\frac{7}{5}$.
$\frac{3}{3}+\frac{2}{5}=\frac{7}{5}$.
The two sides are equal, thus it is a good solution.