$$ \begin{aligned} \frac{1}{2}(x-3) &= 24&& \text{simplify left side} \\[1 em]\frac{x-3}{2} &= 24&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x-3}{2} &= 2\cdot24&& \text{cancel out the denominators} \\[1 em]x-3 &= 48&& \text{ move -3 to the right } \\[1 em]x &= 48+3&& \\[1 em]x &= 51&& \\[1 em]x &= 51&& \\[1 em] \end{aligned} $$

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