Question
$$2x+\frac{1}{3}x = 2$$
Answer
$$ x = \dfrac{6}{7} $$
Explanation
$$ \begin{aligned} 2x+\frac{1}{3}x &= 2&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2x+3 \cdot \frac{1}{3}x &= 3\cdot2&& \text{cancel out the denominators} \\[1 em]6x+x &= 6&& \text{simplify left side} \\[1 em]7x &= 6&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{6}{7}&& \\[1 em] \end{aligned} $$
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