We use use the segment addition postulate, which states we can add adjacent segments contained in a whole segment to find the total distance of the whole line segment. We have two adjacent segments that make up a whole segment, so we can add the expressions together.
PQ+QR=PR
Substitute the values into the equation above:
(3x-2)+(5x+6)=PR
Combine like terms using the Associative Property of Addition:
(3x+5x)+(6-2)=PR
Simplify:
8x+4=PR
We can factor out a GCF of 4:
4(2x+1)=PR
So, the answer is 4(2x+1)