$$ \begin{aligned} \frac{1}{3}(x-6) &= \frac{2}{5}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{1}{3}(x-6) &= 15\cdot\frac{2}{5}&& \text{cancel out the denominators} \\[1 em]5x-30 &= 6&& \text{ move -30 to the right } \\[1 em]5x &= 6+30&& \\[1 em]5x &= 36&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{36}{5}&& \\[1 em] \end{aligned} $$

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