$$ \begin{aligned} (x+2)\cdot\frac{5}{4} &= 32&& \text{simplify left side} \\[1 em]\frac{5x+10}{4} &= 32&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{5x+10}{4} &= 4\cdot32&& \text{cancel out the denominators} \\[1 em]5x+10 &= 128&& \text{ move 10 to the right } \\[1 em]5x &= 128-10&& \\[1 em]5x &= 118&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{118}{5}&& \\[1 em] \end{aligned} $$

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