$$ \begin{aligned} 2x+3(x-4) &= 2(x-3)&& \text{simplify left and right hand side} \\[1 em]2x+3x-12 &= 2x-6&& \\[1 em]5x-12 &= 2x-6&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -12 }$ to the right} \\[1 em]5x-2x &= -6+12&& \text{simplify left and right hand side} \\[1 em]3x &= 6&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{6}{3}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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