$$ \begin{aligned} x-8 &= -2(x-2)&& \text{simplify right side} \\[1 em]x-8 &= -(2x-4)&& \\[1 em]x-8 &= -2x+4&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]x+2x &= 4+8&& \text{simplify left and right hand side} \\[1 em]3x &= 12&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{12}{3}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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