$$ \begin{aligned} x+7 &= 5(x-1)&& \text{simplify right side} \\[1 em]x+7 &= 5x-5&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]x-5x &= -5-7&& \text{simplify left and right hand side} \\[1 em]-4x &= -12&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-12}{-4}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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