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

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