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

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