Question
$$3\cdot2^2+\frac{12}{4-2}-5 = 9$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3\cdot2^2+\frac{12}{4-2}-5 &= 9&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot3\cdot2^2+2\cdot\frac{12}{4-2}-2\cdot5 &= 2\cdot9&& \text{cancel out the denominators} \\[1 em]24+12-10 &= 18&& \text{simplify left side} \\[1 em]26 &= 18&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 26 = 18 } $ is FALSE, we conclude that the equation has no solution.
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