$$x+\frac{1}{3}+x = \frac{x}{4}$$

$$ \begin{aligned} x+\frac{1}{3}+x &= \frac{x}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12x+12\cdot\frac{1}{3}+12x &= 12 \cdot \frac{x}{4}&& \text{cancel out the denominators} \\[1 em]12x+4+12x &= 3x&& \text{simplify left side} \\[1 em]24x+4 &= 3x&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]24x-3x &= -4&& \text{simplify left side} \\[1 em]21x &= -4&& \text{ divide both sides by $ 21 $ } \\[1 em]x &= -\frac{4}{21}&& \\[1 em] \end{aligned} $$

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