$$ \begin{aligned} -2(8x+1)-1 &= -7(2x-3)-x&& \text{simplify left and right hand side} \\[1 em]-(16x+2)-1 &= -(14x-21)-x&& \\[1 em]-16x-2-1 &= -14x+21-x&& \\[1 em]-16x-3 &= -15x+21&& \text{move the $ \color{blue}{ -15x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]-16x+15x &= 21+3&& \text{simplify left and right hand side} \\[1 em]-x &= 24&& \text{switch signs on both sides} \\[1 em]x &= -24&& \\[1 em] \end{aligned} $$

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