$$ \begin{aligned} x+4 &= -9-3(x-5)+8x&& \text{simplify right side} \\[1 em]x+4 &= -9-(3x-15)+8x&& \\[1 em]x+4 &= -9-3x+15+8x&& \\[1 em]x+4 &= 5x+6&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]x-5x &= 6-4&& \text{simplify left and right hand side} \\[1 em]-4x &= 2&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{2}{4}&& \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$

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