Question

find the difference.\\(\left(\frac{9}{4}x + 6\
ight) - \left(-\frac{5}{4}x - 24\
ight) = \square\\)

Explanation:

Step1: Remove parentheses

To remove the parentheses, we distribute the negative sign to the terms inside the second parentheses. So we have $\frac{9}{4}x + 6+\frac{5}{4}x + 24$.

Step2: Combine like terms

For the $x$ - terms: $\frac{9}{4}x+\frac{5}{4}x=\frac{9 + 5}{4}x=\frac{14}{4}x=\frac{7}{2}x$.
For the constant terms: $6 + 24=30$.

Answer:

$\frac{7}{2}x + 30$