$$ \begin{aligned} \frac{3-x}{6} &= \frac{1}{3}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{3-x}{6} &= 6\cdot\frac{1}{3}&& \text{cancel out the denominators} \\[1 em]3-x &= 2&& \text{ move 3 to the right } \\[1 em]-x &= 2-3&& \\[1 em]-x &= -1&& \text{switch signs on both sides} \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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