$$ \begin{aligned} 7(x-8) &= 4(x+1)&& \text{simplify left and right hand side} \\[1 em]7x-56 &= 4x+4&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -56 }$ to the right} \\[1 em]7x-4x &= 4+56&& \text{simplify left and right hand side} \\[1 em]3x &= 60&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{60}{3}&& \\[1 em]x &= 20&& \\[1 em] \end{aligned} $$

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