$$\frac{2}{6}+\frac{1}{2}x = \frac{1}{3}$$

$$ \begin{aligned} \frac{2}{6}+\frac{1}{2}x &= \frac{1}{3}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{2}{6}+6\frac{1}{2}x &= 6\cdot\frac{1}{3}&& \text{cancel out the denominators} \\[1 em]2+3x &= 2&& \text{ move 2 to the right } \\[1 em]3x &= 2-2&& \\[1 em]3x &= 0&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{0}{3}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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