$$ \begin{aligned} -3(x-4)+5 &= -x-3&& \text{simplify left side} \\[1 em]-(3x-12)+5 &= -x-3&& \\[1 em]-3x+12+5 &= -x-3&& \\[1 em]-3x+17 &= -x-3&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ 17 }$ to the right} \\[1 em]-3x+x &= -3-17&& \text{simplify left and right hand side} \\[1 em]-2x &= -20&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-20}{-2}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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