$$ \begin{aligned} 9 &= \frac{5}{8}(2x+8)&& \text{simplify right side} \\[1 em]9 &= \frac{10x+40}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot9 &= 8 \cdot \frac{10x+40}{8}&& \text{cancel out the denominators} \\[1 em]72 &= 10x+40&& \text{ swap the left and right side of the equation } \\[1 em]10x+40 &= 72&& \text{ move 40 to the right } \\[1 em]10x &= 72-40&& \\[1 em]10x &= 32&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{32}{10}&& \\[1 em]x &= \frac{16}{5}&& \\[1 em] \end{aligned} $$

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