$$2(5x-5) = 2x$$

$$ \begin{aligned} 2(5x-5) &= 2x&& \text{simplify left side} \\[1 em]10x-10 &= 2x&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]10x-2x &= 10&& \text{simplify left side} \\[1 em]8x &= 10&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{10}{8}&& \\[1 em]x &= \frac{5}{4}&& \\[1 em] \end{aligned} $$

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