Using the midpoint concept, it is found that the solution is x = 9.
What is the midpoint?
It divides a segment into two segments of equal lengths.
In this problem, ec is the midpoint of ac, hence the length of segment ec half the length of segment ac, and this is represented by the following equation:
[tex]ec = \frac{ac}{2}[/tex]
[tex]2x + 11 = \frac{8x - 14}{2}[/tex]
[tex]8x - 14 = 4x + 22[/tex]
[tex]4x = 36[/tex]
[tex]x = 9[/tex]
Thus, the solution for x is x = 9.
More can be learned about the midpoint concept at https://brainly.com/question/10956693
