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