$$ \begin{aligned} \frac{1}{4}x+\frac{1}{3} &= 4&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{1}{4}x+12\cdot\frac{1}{3} &= 12\cdot4&& \text{cancel out the denominators} \\[1 em]3x+4 &= 48&& \text{ move 4 to the right } \\[1 em]3x &= 48-4&& \\[1 em]3x &= 44&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{44}{3}&& \\[1 em] \end{aligned} $$

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