$$ \begin{aligned} 2x+8(x+5) &= 2(x+4)&& \text{simplify left and right hand side} \\[1 em]2x+8x+40 &= 2x+8&& \\[1 em]10x+40 &= 2x+8&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 40 }$ to the right} \\[1 em]10x-2x &= 8-40&& \text{simplify left and right hand side} \\[1 em]8x &= -32&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{32}{8}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$
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