Answer:
x = 7
Step-by-step explanation:
Note that the line of length 2x - 6 is a mid- line segment as it bisects the 2 sides of the triangle. Accordingly it is half the length of the third side, that is
2x - 6 = 8 ( add 6 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
