$$\frac{x}{x}+1000 = 0$$

$$ \begin{aligned} \frac{x}{x}+1000 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{x}{x}+x\cdot1000 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]x+1000x &= 0&& \text{simplify left side} \\[1 em]1001x &= 0&& \text{ divide both sides by $ 1001 $ } \\[1 em]x &= \frac{0}{1001}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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