$$ \begin{aligned} 8-\frac{x}{2} &= -6&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot8-2 \cdot \frac{x}{2} &= 2\cdot(-6)&& \text{cancel out the denominators} \\[1 em]16-x &= -12&& \text{ move 16 to the right } \\[1 em]-x &= -12-16&& \\[1 em]-x &= -28&& \text{switch signs on both sides} \\[1 em]x &= 28&& \\[1 em] \end{aligned} $$

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