$$ \begin{aligned} 8(3x+8)+7 &= -10+1+8x&& \text{simplify left and right hand side} \\[1 em]24x+64+7 &= 8x-9&& \\[1 em]24x+71 &= 8x-9&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 71 }$ to the right} \\[1 em]24x-8x &= -9-71&& \text{simplify left and right hand side} \\[1 em]16x &= -80&& \text{ divide both sides by $ 16 $ } \\[1 em]x &= -\frac{80}{16}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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