$$x+\frac{1}{2} = 0$$
Answer
$$ x = -\frac{1}{2} $$
Explanation
$$ \begin{aligned} x+\frac{1}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot1x+2\cdot\frac{1}{2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]2x+1 &= 0&& \text{ move the constants to the right } \\[1 em]2x &= -1&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$
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