$$ \begin{aligned} -2(x-12) &= 3(3x-9)+x-13&& \text{simplify left and right hand side} \\[1 em]-(2x-24) &= 9x-27+x-13&& \\[1 em]-2x+24 &= 10x-40&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 24 }$ to the right} \\[1 em]-2x-10x &= -40-24&& \text{simplify left and right hand side} \\[1 em]-12x &= -64&& \text{ divide both sides by $ -12 $ } \\[1 em]x &= \frac{-64}{-12}&& \\[1 em]x &= \frac{16}{3}&& \\[1 em] \end{aligned} $$

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