Question 1121592
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AB + BC = AC    since the point  C  is between A and C on the segment AC.


It means that


(3x-8) + 4x = 8x - 16.


Simplify and solve it for x.


3x - 8 + 4x = 8x - 16


7x - 8 = 8x - 16


16 - 8 = 8x - 7x


8 = x.


Thus x= 8,  AC = 8x-16 = 8*8 - 16 = 84-16 = 48;  AB = 3x-8 = 3*8-8 = 16;  BC = 4*x = 4*8 = 32.
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Solved.