Answer:
x = 12
Explanation:
The mid segment is half the sum of the 2 parallel bases, that is
5x - 20 =
![(2x+6+4x+2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/q3kx8qllvjfx5y04ie0kt2x2om5ee8faql.png)
5x - 20 =
( multiply both sides by 2 to clear the fraction )
10x - 40 = 6x + 8 ( subtract 6x from both sides )
4x - 40 = 8 ( add 40 to both sides )
4x = 48 ( divide both sides by 4 )
x = 12