$$ \begin{aligned} \frac{1}{2}x-18 &= 2&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x-2\cdot18 &= 2\cdot2&& \text{cancel out the denominators} \\[1 em]x-36 &= 4&& \text{ move -36 to the right } \\[1 em]x &= 4+36&& \\[1 em]x &= 40&& \\[1 em]x &= 40&& \\[1 em] \end{aligned} $$
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