$$ \begin{aligned} \frac{1}{2}(x-6) &= 0&& \text{simplify left side} \\[1 em]\frac{x-6}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x-6}{2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]x-6 &= 0&& \text{ move the constants to the right } \\[1 em]x &= 6&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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