As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.
We can substitute to get:
2x - 3 = x + 2
And simplify and solve:
x - 3 = 2
x = 5
AD is just 2x - 3, so we can substitute in x to find AD: