$$ \begin{aligned} 3(3x+4+2x) &= (x-4)\cdot2&& \text{simplify left and right hand side} \\[1 em]3(5x+4) &= 2x-8&& \\[1 em]15x+12 &= 2x-8&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]15x-2x &= -8-12&& \text{simplify left and right hand side} \\[1 em]13x &= -20&& \text{ divide both sides by $ 13 $ } \\[1 em]x &= -\frac{20}{13}&& \\[1 em] \end{aligned} $$

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