Answer:
AB = 10
Explanation:
M being the midpoint of segment AB means that:
AB = AM + MB
And
AM = MB
We have that:
AM = 2x + 1
MB = 4x - 3
Since AM = MB
2x + 1 = 4x - 3
4x - 2x = 1 + 3
2x = 4
x = 4/2
x = 2
So
AB = AM + MB
AM = 2x + 1 = 2*2 + 1 = 5
MB = 4x - 3 = 4*2 - 3 = 5
AB = 5 + 5 = 10