Answer: 11
Step-by-step explanation:
By the angle bisector theorem,
[tex]\frac{3x-3}{5x}=\frac{24}{44}\\\\44(3x-3)=24(5x)\\\\132x-132=120x\\\\12x-132=0\\\\ 12x=132\\\\x=\boxed{11}[/tex]
