Question
$$\frac{7}{2}+5 = \frac{9}{4}+5$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{7}{2}+5 &= \frac{9}{4}+5&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{7}{2}+4\cdot5 &= 4\cdot\frac{9}{4}+4\cdot5&& \text{cancel out the denominators} \\[1 em]14+20 &= 9+20&& \text{simplify left and right hand side} \\[1 em]34 &= 29&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 34 = 29 } $ is FALSE, we conclude that the equation has no solution.
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