in triangle ABC, line BF is angle bisector of angle ABC, line AE, line BF and line CDare medians, and P is the centriod. find Xif DP = 4x-3 and CP=30

since the centroid is 2/3 of the way to the opposite side,

30 = 2(4x-3)
x = 36/8 = 9/2

Don't know why BF is mentioned as an angle bisector, since that has nothing to do with the medians. It just means that ABC is isosceles.