$$ \begin{aligned} 2 \cdot \frac{x}{3}-\frac{2}{3} &= \frac{3}{5}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot2 \cdot \frac{x}{3}-15\cdot\frac{2}{3} &= 15\cdot\frac{3}{5}&& \text{cancel out the denominators} \\[1 em]10x-10 &= 9&& \text{ move -10 to the right } \\[1 em]10x &= 9+10&& \\[1 em]10x &= 19&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{19}{10}&& \\[1 em] \end{aligned} $$

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