Answer:
4
Explanation:
Midpoints are points that divide line segments exactly in halves, meaning both sides equal the same length.
So if P is the midpoint of DE, DP and PE must equals the same length.
Given that:
DP = 3x + 2, PE also equals 3x + 2.
DE = 10x - 12
Now we must set these lengths equal to the total length of the segment.
2(3x + 2) = 10x - 12
Solve:
6x + 4 = 10x - 12
-4 -4
6x = 10x - 16
-10x -10x
-4x = -16
/-4 /-4
x = 4