$$ \begin{aligned} 9x-\frac{5}{6} &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot9x-6\cdot\frac{5}{6} &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]54x-5 &= 0&& \text{ move the constants to the right } \\[1 em]54x &= 5&& \text{ divide both sides by $ 54 $ } \\[1 em]x &= \frac{5}{54}&& \\[1 em] \end{aligned} $$
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