$$ \begin{aligned} x-\frac{12}{6} &= 9&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6x-6\cdot\frac{12}{6} &= 6\cdot9&& \text{cancel out the denominators} \\[1 em]6x-12 &= 54&& \text{ move -12 to the right } \\[1 em]6x &= 54+12&& \\[1 em]6x &= 66&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{66}{6}&& \\[1 em]x &= 11&& \\[1 em] \end{aligned} $$

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