If B is between A and C, AB= x+6, BC= 5x -4, and AC= 12x - 20, then AC=?

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AC = 24

Step-by-step explanation:

First you want to set up the equation to find what x equals which is AB + BC = AC

12x - 20 = x + 6 + 5x - 4

Then combine like terms and solve.

12x - 20 = x + 6 + 5x - 4

12x - 20 = 6x +2

      +20          +20

12x = 6x + 22

-6x    -6x

6x = 22

x = 11/3 or 3 2/3

Then plug in x to the AC equation.\

12(11/3) - 20

44-20

AC = 24

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