$$ \begin{aligned} 5 \cdot \frac{x}{8} &= x+\frac{2}{10}&& \text{multiply ALL terms by } \color{blue}{ 40 }. \\[1 em]40\cdot5 \cdot \frac{x}{8} &= 40x+40\cdot\frac{2}{10}&& \text{cancel out the denominators} \\[1 em]25x &= 40x+8&& \text{move the $ \color{blue}{ 40x } $ to the left side} \\[1 em]25x-40x &= 8&& \text{simplify left side} \\[1 em]-15x &= 8&& \text{ divide both sides by $ -15 $ } \\[1 em]x &= -\frac{8}{15}&& \\[1 em] \end{aligned} $$

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