$$ \begin{aligned} \frac{x}{4} &= 9x&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{x}{4} &= 4\cdot9x&& \text{cancel out the denominators} \\[1 em]x &= 36x&& \text{move the $ \color{blue}{ 36x } $ to the left side} \\[1 em]x-36x &= 0&& \text{simplify left side} \\[1 em]-35x &= 0&& \text{ divide both sides by $ -35 $ } \\[1 em]x &= \frac{0}{-35}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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