$$ \begin{aligned} \frac{x+24}{2}+3 &= 5&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x+24}{2}+2\cdot3 &= 2\cdot5&& \text{cancel out the denominators} \\[1 em]x+24+6 &= 10&& \text{simplify left side} \\[1 em]x+30 &= 10&& \text{ move 30 to the right } \\[1 em]x &= 10-30&& \\[1 em]x &= -20&& \\[1 em]x &= -20&& \\[1 em] \end{aligned} $$

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