$$ \begin{aligned} \frac{8}{100}x &= 25500-x&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100 \cdot \frac{8}{100}x &= 100\cdot25500-100x&& \text{cancel out the denominators} \\[1 em]8x &= 2550000-100x&& \text{move the $ \color{blue}{ -100x } $ to the left side} \\[1 em]8x+100x &= 2550000&& \text{simplify left side} \\[1 em]108x &= 2550000&& \text{ divide both sides by $ 108 $ } \\[1 em]x &= \frac{2550000}{108}&& \\[1 em]x &= \frac{212500}{9}&& \\[1 em] \end{aligned} $$

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