Answer:
Simplified form of the expression will be x + [tex]\frac{21}{2}[/tex]
Step-by-step explanation:
The expression is [tex]\frac{3(3x+6)}{4}-\frac{(5x-24)}{4}[/tex]
Now we have to simplify this expression
[tex]\frac{3(3x+6)}{4}-\frac{(5x-24)}{4}[/tex] = [tex]\frac{(9x+18)}{4}-\frac{(5x-24)}{4}[/tex]
= [tex]\frac{9x+18-5x+24}{4}[/tex]
= [tex]\frac{4x+42}{4}[/tex]
= x + [tex]\frac{42}{4}[/tex]
= x + [tex]\frac{21}{2}[/tex]
Therefore, simplified form of the expression will be x + [tex]\frac{21}{2}[/tex]
