Question
$$30-10+\frac{10}{2}\cdot2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 30-10+\frac{10}{2}\cdot2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot30-2\cdot10+2 \cdot \frac{10}{2}\cdot2 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]60-20+20 &= 0&& \text{simplify left side} \\[1 em]60-20+20 &= 0&& \\[1 em]60 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 60 = 0 } $ is FALSE, we conclude that the equation has no solution.
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