$$ \begin{aligned} \frac{5}{2}(10x-16) &= 5&& \text{simplify left side} \\[1 em]\frac{50x-80}{2} &= 5&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{50x-80}{2} &= 2\cdot5&& \text{cancel out the denominators} \\[1 em]50x-80 &= 10&& \text{ move -80 to the right } \\[1 em]50x &= 10+80&& \\[1 em]50x &= 90&& \text{ divide both sides by $ 50 $ } \\[1 em]x &= \frac{90}{50}&& \\[1 em]x &= \frac{9}{5}&& \\[1 em] \end{aligned} $$

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