3x+1 4x-5, set up an equation to solve for x

Line semgment with points A, B and C. All are collinear and B is between A and C, then AB+BC=AC. AB= 3x+1. BC= 4x-5. AC= 31. Set up an equation to solve for x to equal to 31.
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1 Answer

AB + BC = AC

(3x + 1) + (4x - 5) = 31

7x - 4 = 31

7x = 35

x = 35 / 7

x = 5
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