$$ \begin{aligned} 500x-600 &= 400x+8&& \text{move the $ \color{blue}{ 400x } $ to the left side and $ \color{blue}{ -600 }$ to the right} \\[1 em]500x-400x &= 8+600&& \text{simplify left and right hand side} \\[1 em]100x &= 608&& \text{ divide both sides by $ 100 $ } \\[1 em]x &= \frac{608}{100}&& \\[1 em]x &= \frac{152}{25}&& \\[1 em] \end{aligned} $$
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