$$ \begin{aligned} \frac{2}{1\cdot2x\cdot1000x\cdot5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 1\cdot2x\cdot1000\cdot5 }. \\[1 em]1\cdot2x\cdot1000\cdot5\cdot\frac{2}{1\cdot2x\cdot1000x\cdot5} &= 1\cdot2x\cdot1000\cdot5\cdot0&& \text{cancel out the denominators} \\[1 em]200000000x^3 &= 0&& \\[1 em] \end{aligned} $$
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