$$ \begin{aligned} x-6 &= 5(x+2)&& \text{simplify right side} \\[1 em]x-6 &= 5x+10&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]x-5x &= 10+6&& \text{simplify left and right hand side} \\[1 em]-4x &= 16&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{16}{4}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$
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