$$ \begin{aligned} \frac{13}{5}-\frac{x}{6} &= 2x&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30\cdot\frac{13}{5}-30\frac{x}{6} &= 30\cdot2x&& \text{cancel out the denominators} \\[1 em]78-5x &= 60x&& \text{move the $ \color{blue}{ 60x } $ to the left side and $ \color{blue}{ 78 }$ to the right} \\[1 em]-5x-60x &= -78&& \text{simplify left side} \\[1 em]-65x &= -78&& \text{ divide both sides by $ -65 $ } \\[1 em]x &= \frac{-78}{-65}&& \\[1 em]x &= \frac{6}{5}&& \\[1 em] \end{aligned} $$

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