$$ \begin{aligned} \frac{x}{3}+2 &= 2 \cdot \frac{x}{5}+4&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{x}{3}+15\cdot2 &= 15\cdot2 \cdot \frac{x}{5}+15\cdot4&& \text{cancel out the denominators} \\[1 em]5x+30 &= 6x+60&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 30 }$ to the right} \\[1 em]5x-6x &= 60-30&& \text{simplify left and right hand side} \\[1 em]-x &= 30&& \text{switch signs on both sides} \\[1 em]x &= -30&& \\[1 em] \end{aligned} $$

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