can someone help me solve this problem?

Answer:
No
Step-by-step explanation:
If Q is the midpoint of PR, then PQ=QR.
[tex]5(x+2)=8x-3 \\ \\ 5x+10=8x-3 \\ \\ 3x=13 \\ \\ x=\frac{13}{3} \\ \\ \implies PQ=5\left(\frac{8}{3} +2 \right) \neq 36[/tex]
This means PQ + QR = PR isn't 72, and thus Q is not the midpoint of PR.