Question
$$2x = 3+\frac{2}{3}$$
Answer
$$ x = \dfrac{11}{6} $$
Explanation
$$ \begin{aligned} 2x &= 3+\frac{2}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2x &= 3\cdot3+3\cdot\frac{2}{3}&& \text{cancel out the denominators} \\[1 em]6x &= 9+2&& \text{simplify right side} \\[1 em]6x &= 11&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{11}{6}&& \\[1 em] \end{aligned} $$
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