$$ \begin{aligned} 7x-(2x-4)+1 &= -10+8x&& \text{simplify left and right hand side} \\[1 em]7x-2x+4+1 &= 8x-10&& \\[1 em]5x+5 &= 8x-10&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]5x-8x &= -10-5&& \text{simplify left and right hand side} \\[1 em]-3x &= -15&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-15}{-3}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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