$$ \begin{aligned} 31x\cdot\frac{6}{13} &= 0&& \text{multiply ALL terms by } \color{blue}{ 13 }. \\[1 em]1331x\cdot\frac{6}{13} &= 13\cdot0&& \text{cancel out the denominators} \\[1 em]186x &= 0&& \text{ divide both sides by $ 186 $ } \\[1 em]x &= \frac{0}{186}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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