Question
$$-\frac{x}{2x+1} = 0$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} -\frac{x}{2x+1} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2x+1 }. \\[1 em]-(2x+1)\frac{x}{2x+1} &= (2x+1)\cdot0&& \text{cancel out the denominators} \\[1 em]-x &= 0&& \text{ divide both sides by $ -1 $ } \\[1 em]x &= \frac{0}{-1}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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