$$ \begin{aligned} 250000-\frac{1}{10}x &= x&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot250000-10 \cdot \frac{1}{10}x &= 10x&& \text{cancel out the denominators} \\[1 em]2500000-x &= 10x&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 2500000 }$ to the right} \\[1 em]-x-10x &= -2500000&& \text{simplify left side} \\[1 em]-11x &= -2500000&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= \frac{-2500000}{-11}&& \\[1 em]x &= \frac{2500000}{11}&& \\[1 em] \end{aligned} $$

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