Question
$$2 \cdot \frac{x}{5}-\frac{x}{3} = 2$$
Answer
$$ x = 30 $$
Explanation
$$ \begin{aligned} 2 \cdot \frac{x}{5}-\frac{x}{3} &= 2&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot2 \cdot \frac{x}{5}-15\frac{x}{3} &= 15\cdot2&& \text{cancel out the denominators} \\[1 em]6x-5x &= 30&& \text{simplify left side} \\[1 em]x &= 30&& \\[1 em]x &= 30&& \\[1 em] \end{aligned} $$
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