$$ \begin{aligned} \frac{1}{5} &= \frac{2}{3}x&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot\frac{1}{5} &= 15 \cdot \frac{2}{3}x&& \text{cancel out the denominators} \\[1 em]3 &= 10x&& \text{ swap the left and right side of the equation } \\[1 em]10x &= 3&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{3}{10}&& \\[1 em] \end{aligned} $$

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