Answer:
x = 7
Step-by-step explanation:
Based on the diagram, segment 2x-6 is in the middle of segment 16 and a point to the very right of the triangle.
Since a point has no length (the length = 0) the length of 2x-6 is the average of the point and 16:
(16 + 0)/2 = 2x-6
16/2 = 2x-6
8 = 2x-6 ==> solve for x
14 = 2x ==> add 6 on both sides
x = 7 ==> divide both sides by 2