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

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