Question
$$\frac{2}{5}x-\frac{1}{3}x = 3$$
Answer
$$ x = 45 $$
Explanation
$$ \begin{aligned} \frac{2}{5}x-\frac{1}{3}x &= 3&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{2}{5}x-15\frac{1}{3}x &= 15\cdot3&& \text{cancel out the denominators} \\[1 em]6x-5x &= 45&& \text{simplify left side} \\[1 em]x &= 45&& \\[1 em]x &= 45&& \\[1 em] \end{aligned} $$
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