Question
$$\frac{3}{2}x+x = 2$$
Answer
$$ x = \dfrac{4}{5} $$
Explanation
$$ \begin{aligned} \frac{3}{2}x+x &= 2&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{3}{2}x+2x &= 2\cdot2&& \text{cancel out the denominators} \\[1 em]3x+2x &= 4&& \text{simplify left side} \\[1 em]5x &= 4&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{4}{5}&& \\[1 em] \end{aligned} $$
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