$$ \begin{aligned} x-\frac{\frac{1}{10}}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30x-30 \cdot \frac{\frac{1}{10}}{3} &= 30\cdot0&& \text{cancel out the denominators} \\[1 em]30x-1 &= 0&& \text{ move the constants to the right } \\[1 em]30x &= 1&& \text{ divide both sides by $ 30 $ } \\[1 em]x &= \frac{1}{30}&& \\[1 em] \end{aligned} $$

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