G is the midpoint of SR, and H is the midpoint of RQ.
GH is parallel to SQ
According to the Midsegment theorem
GH = 1/2 SQ
Replacing:
4x-65 = 1/2 ( 2x-4 )
Solve for x:
4x - 65 = 1/2 (2x) + 1/2 (-4)
4x- 65 = x - 2
Combine like terms:
4x -x = -2+65
3x = 63
x = 63/3
x=21