$$ \begin{aligned} \frac{1}{4}x-18 &= -22&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{1}{4}x-4\cdot18 &= 4\cdot(-22)&& \text{cancel out the denominators} \\[1 em]x-72 &= -88&& \text{ move -72 to the right } \\[1 em]x &= -88+72&& \\[1 em]x &= -16&& \\[1 em]x &= -16&& \\[1 em] \end{aligned} $$
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