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

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