Answer:
The value of x = 2
Step-by-step explanation:
Given the equation

- Expand 12(x-2) = 12x - 24
- Expand 1/2(x+6) = 1/2x + 3
so the equation becomes

simplifying


multiplying both sides by 2

subtracting x from both sides


divide both sides by 29

simplifying

Therefore, the value of x = 2
Midpoint
We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.
This can be visualized as follows:
Since AB=7, then BC = 7 and AC=AB+BC = 14
Answer: BC = 7, and AC=!4
The Second Choice I think
The answer to this question is 48.