$$ \begin{aligned} -\frac{1}{4}(x+2)+5 &= -x&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]-4 \cdot \frac{1}{4}(x+2)+4\cdot5 &= -4x&& \text{cancel out the denominators} \\[1 em]-(x+2)+20 &= -4x&& \text{simplify left side} \\[1 em]-x-2+20 &= -4x&& \\[1 em]-x+18 &= -4x&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]-x+4x &= -18&& \text{simplify left side} \\[1 em]3x &= -18&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{18}{3}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$

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