$$ \begin{aligned} 3\cdot\frac{5}{6}x\cdot6 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]63\cdot\frac{5}{6}x\cdot6 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]90x &= 0&& \text{ divide both sides by $ 90 $ } \\[1 em]x &= \frac{0}{90}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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