$$ \begin{aligned} \frac{x}{4}+\frac{x}{9} &= 10&& \text{multiply ALL terms by } \color{blue}{ 36 }. \\[1 em]36 \cdot \frac{x}{4}+36\frac{x}{9} &= 36\cdot10&& \text{cancel out the denominators} \\[1 em]9x+4x &= 360&& \text{simplify left side} \\[1 em]13x &= 360&& \text{ divide both sides by $ 13 $ } \\[1 em]x &= \frac{360}{13}&& \\[1 em] \end{aligned} $$

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