$$ \begin{aligned} 5 \cdot \frac{x}{3}-4 &= 8 \cdot \frac{x}{5}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot5 \cdot \frac{x}{3}-15\cdot4 &= 15\cdot8 \cdot \frac{x}{5}&& \text{cancel out the denominators} \\[1 em]25x-60 &= 24x&& \text{move the $ \color{blue}{ 24x } $ to the left side and $ \color{blue}{ -60 }$ to the right} \\[1 em]25x-24x &= 60&& \text{simplify left side} \\[1 em]x &= 60&& \\[1 em]x &= 60&& \\[1 em] \end{aligned} $$

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