$$ \begin{aligned} -2(x+3) &= x-12&& \text{simplify left side} \\[1 em]-(2x+6) &= x-12&& \\[1 em]-2x-6 &= x-12&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]-2x-x &= -12+6&& \text{simplify left and right hand side} \\[1 em]-3x &= -6&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-6}{-3}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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