$$ \begin{aligned} 5x+5x &= \frac{160}{20}&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20\cdot5x+20\cdot5x &= 20\cdot\frac{160}{20}&& \text{cancel out the denominators} \\[1 em]100x+100x &= 160&& \text{simplify left side} \\[1 em]200x &= 160&& \text{ divide both sides by $ 200 $ } \\[1 em]x &= \frac{160}{200}&& \\[1 em]x &= \frac{4}{5}&& \\[1 em] \end{aligned} $$

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