$$ \begin{aligned} 8(-10x-5)-8 &= -9-8(10x+5)&& \text{simplify left and right hand side} \\[1 em]-80x-40-8 &= -9-(80x+40)&& \\[1 em]-80x-48 &= -9-80x-40&& \\[1 em]-80x-48 &= -80x-49&& \text{move the $ \color{blue}{ -80x } $ to the left side and $ \color{blue}{ -48 }$ to the right} \\[1 em]-80x+80x &= -49+48&& \text{simplify left and right hand side} \\[1 em]-80x+80x &= -1&& \\[1 em]0 &= -1&& \\[1 em] \end{aligned} $$

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