$$ \begin{aligned} \frac{x}{4}+9 &= -2&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{x}{4}+4\cdot9 &= 4\cdot(-2)&& \text{cancel out the denominators} \\[1 em]x+36 &= -8&& \text{ move 36 to the right } \\[1 em]x &= -8-36&& \\[1 em]x &= -44&& \\[1 em]x &= -44&& \\[1 em] \end{aligned} $$
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