I swear to god if you help me i’ll be sooo grateful and give u the top answer. Answer and show your work pleaseeeee i beg you.

x = 4

AB = 1

Explanation:

AB = BC and B is between AC. So B is the midpoint of AC

By the segment addition postulate, we can say the following

AB+BC = AC

AB+AB = AC ... replace BC with AB, since AB = BC

2*AB = AC

Now plug in the given expressions and solve for x

2*AB = AC

2*(x-3) = 4x-14

2x-6 = 4x-14

-6+14 = 4x-2x

8 = 2x

2x = 8

x = 8/2

x = 4

Use this x value to find each segment

AB = x-3 = 4-3 = 1

BC = AB = 1

AC = 4x-14 = 4*4-14 = 2

Note how AB+BC = 1+1 = 2, which matches up with AC = 2

This shows that AB+BC = AC is true and the answer has been confirmed.