Question
$$1-\frac{x}{2} = -1$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} 1-\frac{x}{2} &= -1&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot1-2 \cdot \frac{x}{2} &= 2\cdot(-1)&& \text{cancel out the denominators} \\[1 em]2-x &= -2&& \text{ move 2 to the right } \\[1 em]-x &= -2-2&& \\[1 em]-x &= -4&& \text{switch signs on both sides} \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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