Question
$$3 \cdot \frac{x}{2}+x = 1$$
Answer
$$ x = \dfrac{2}{5} $$
Explanation
$$ \begin{aligned} 3 \cdot \frac{x}{2}+x &= 1&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot3 \cdot \frac{x}{2}+2x &= 2\cdot1&& \text{cancel out the denominators} \\[1 em]3x+2x &= 2&& \text{simplify left side} \\[1 em]5x &= 2&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{2}{5}&& \\[1 em] \end{aligned} $$
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