if N bisects QR and QP = 3x+5 and PR = 5x-19 what is x

The value of x for the segments of line QR is 12.
A line bisector divides the given line into two equal segments, since the line n is shown to be a segment bisector of line QR, then QP is equal to RP. We can evaluate for the value of x as follows:
5x - 19 = 3x + 5
collecting like terms together we get:
5x - 3x = 19 + 5
2x = 24
Dividing through by 2 we have x value as:
x = 24/2
x = 12.