Answer:
x = 26
Explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, thus
x + 9 =
(3x - 8) ( multiply both sides by 2 to clear the fraction )
2(x + 9) = 3x - 8
2x + 18 = 3x - 8 ( subtract 2x from both sides )
18 = x - 8 ( add 8 to both sides )
26 = x