$$ \begin{aligned} 5 \cdot \frac{x}{2}-3 &= 12&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot5 \cdot \frac{x}{2}-2\cdot3 &= 2\cdot12&& \text{cancel out the denominators} \\[1 em]5x-6 &= 24&& \text{ move -6 to the right } \\[1 em]5x &= 24+6&& \\[1 em]5x &= 30&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{30}{5}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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