$$ \begin{aligned} 12-3(x+2) &= 5x-8&& \text{simplify left side} \\[1 em]12-(3x+6) &= 5x-8&& \\[1 em]12-3x-6 &= 5x-8&& \\[1 em]-3x+6 &= 5x-8&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]-3x-5x &= -8-6&& \text{simplify left and right hand side} \\[1 em]-8x &= -14&& \text{ divide both sides by $ -8 $ } \\[1 em]x &= \frac{-14}{-8}&& \\[1 em]x &= \frac{7}{4}&& \\[1 em] \end{aligned} $$

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