$$ \begin{aligned} x-\frac{1}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3x-3\cdot\frac{1}{3} &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]3x-1 &= 0&& \text{ move the constants to the right } \\[1 em]3x &= 1&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{1}{3}&& \\[1 em] \end{aligned} $$
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