Question

Find the difference ( 9/4​x+6) − (− 5/4​x−24)=​

Answer 1

Answer:

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

Step-by-step explanation:

So we have the equation:

$(\frac{9}{4}x+6)-(-\frac{5}{4}x-24})$

First, distribute the negative on the right:

$=(\frac{9}{4}x+6)+(\frac{5}{4}x+24})$

Combine like terms:

$=(\frac{9}{4}x+\frac{5}{4}x})+(6+24)$

Add:

$=\frac{14}{4}x+30$

We can reduce our fraction by dividing both layers by 2. Thus:

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

So this would be our answer :)