$$\frac{x}{5} = x-\frac{1}{6}$$

$$ \begin{aligned} \frac{x}{5} &= x-\frac{1}{6}&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30 \cdot \frac{x}{5} &= 30x-30\cdot\frac{1}{6}&& \text{cancel out the denominators} \\[1 em]6x &= 30x-5&& \text{move the $ \color{blue}{ 30x } $ to the left side} \\[1 em]6x-30x &= -5&& \text{simplify left side} \\[1 em]-24x &= -5&& \text{ divide both sides by $ -24 $ } \\[1 em]x &= \frac{-5}{-24}&& \\[1 em]x &= \frac{5}{24}&& \\[1 em] \end{aligned} $$

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