Since D is the midpoint we know that ED and DG are equal.
Set ED and DG equal to each other and solve for x.
x - 5 = 4x - 38
x = 4x - 33
-3x = -33
x = 11
Now find the measure of ED and DG by substituting in 11 for x.
ED = 11 - 5 = 6
DG = 4(11) - 38 = 6
Now add them to find the measure of EG.
6 + 6 = EG
12 = EG
Hope this helps :)
