Someone please do this and explain in detail of how you get x.

x=8

AC=148

Step-by-step explanation:

Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC

Knowing that AB=BC, we can sub the values given by the question:

AB = BC

9x+2 = 5x+34

9x-5x = 34-2

4x = 32

x = 8

Now that we know the value of x, we can find AC, since AC=AB+BC

AC = AB + BC

= 9x+2 + 5x+34

= 14x+36

= 14(8)+36

=112+36

=148