$$-\frac{1}{2} = \frac{1}{2}+\frac{1}{2}x$$

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

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