$$ \begin{aligned} \frac{x}{3}+\frac{1}{4} &= \frac{5}{6}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{x}{3}+12\cdot\frac{1}{4} &= 12\cdot\frac{5}{6}&& \text{cancel out the denominators} \\[1 em]4x+3 &= 10&& \text{ move 3 to the right } \\[1 em]4x &= 10-3&& \\[1 em]4x &= 7&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{7}{4}&& \\[1 em] \end{aligned} $$

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