$$5 \cdot \frac{x}{6}+\frac{1}{3} = x$$

$$ \begin{aligned} 5 \cdot \frac{x}{6}+\frac{1}{3} &= x&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot5 \cdot \frac{x}{6}+6\cdot\frac{1}{3} &= 6x&& \text{cancel out the denominators} \\[1 em]5x+2 &= 6x&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]5x-6x &= -2&& \text{simplify left side} \\[1 em]-x &= -2&& \text{switch signs on both sides} \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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