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

$$ \begin{aligned} 2x &= \frac{1}{3}+2+1&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2x &= 3\cdot\frac{1}{3}+3\cdot2+3\cdot1&& \text{cancel out the denominators} \\[1 em]6x &= 1+6+3&& \text{simplify right side} \\[1 em]6x &= 10&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{10}{6}&& \\[1 em]x &= \frac{5}{3}&& \\[1 em] \end{aligned} $$

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