$$ \begin{aligned} 3(2x+4) &= 7(x-8)&& \text{simplify left and right hand side} \\[1 em]6x+12 &= 7x-56&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]6x-7x &= -56-12&& \text{simplify left and right hand side} \\[1 em]-x &= -68&& \text{switch signs on both sides} \\[1 em]x &= 68&& \\[1 em] \end{aligned} $$

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