$$ \begin{aligned} \frac{x}{5}+\frac{x}{8} &= 2&& \text{multiply ALL terms by } \color{blue}{ 40 }. \\[1 em]40 \cdot \frac{x}{5}+40\frac{x}{8} &= 40\cdot2&& \text{cancel out the denominators} \\[1 em]8x+5x &= 80&& \text{simplify left side} \\[1 em]13x &= 80&& \text{ divide both sides by $ 13 $ } \\[1 em]x &= \frac{80}{13}&& \\[1 em] \end{aligned} $$

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