$$ \begin{aligned} 6 \cdot \frac{x}{5} &= 12&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot6 \cdot \frac{x}{5} &= 5\cdot12&& \text{cancel out the denominators} \\[1 em]6x &= 60&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{60}{6}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$
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