$$ \begin{aligned} \frac{x-400000}{x} &= \frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ x\cdot2 }. \\[1 em]x\cdot2 \cdot \frac{x-400000}{x} &= x\cdot2\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]2x-800000 &= x&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -800000 }$ to the right} \\[1 em]2x-x &= 800000&& \text{simplify left side} \\[1 em]x &= 800000&& \\[1 em]x &= 800000&& \\[1 em] \end{aligned} $$

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