Answer:
[tex]=\frac{7}{2}x+30[/tex]
Step-by-step explanation:
So we have the equation:
[tex](\frac{9}{4}x+6)-(-\frac{5}{4}x-24})[/tex]
First, distribute the negative on the right:
[tex]=(\frac{9}{4}x+6)+(\frac{5}{4}x+24})[/tex]
Combine like terms:
[tex]=(\frac{9}{4}x+\frac{5}{4}x})+(6+24)[/tex]
Add:
[tex]=\frac{14}{4}x+30[/tex]
We can reduce our fraction by dividing both layers by 2. Thus:
[tex]=\frac{7}{2}x+30[/tex]
So this would be our answer :)
