$$ \begin{aligned} -x-(-7x-4) &= 8x+6(-x+5)&& \text{simplify left and right hand side} \\[1 em]-x+7x+4 &= 8x-6x+30&& \\[1 em]6x+4 &= 2x+30&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]6x-2x &= 30-4&& \text{simplify left and right hand side} \\[1 em]4x &= 26&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{26}{4}&& \\[1 em]x &= \frac{13}{2}&& \\[1 em] \end{aligned} $$

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