$$ \begin{aligned} -(3x+8) &= 5(x+6)&& \text{simplify left and right hand side} \\[1 em]-3x-8 &= 5x+30&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]-3x-5x &= 30+8&& \text{simplify left and right hand side} \\[1 em]-8x &= 38&& \text{ divide both sides by $ -8 $ } \\[1 em]x &= -\frac{38}{8}&& \\[1 em]x &= -\frac{19}{4}&& \\[1 em] \end{aligned} $$

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