$$ \begin{aligned} 32-\frac{x}{2} &= 10&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot32-2 \cdot \frac{x}{2} &= 2\cdot10&& \text{cancel out the denominators} \\[1 em]64-x &= 20&& \text{ move 64 to the right } \\[1 em]-x &= 20-64&& \\[1 em]-x &= -44&& \text{switch signs on both sides} \\[1 em]x &= 44&& \\[1 em] \end{aligned} $$

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