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AC = 8, AB = 2x + 20, and BC = 2x + 24. Find x.

User Mattygabe
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1 Answer

20 votes
20 votes

Answer:

Answer: x is -9

Explanation:

If it's a line AC with a point B between;

AC = AB + BC

substitute in terms of x :


8 = (2x + 20) + (2x + 24)

group x terms in a same bracket, and constants in their bracket


8 = (2x + 2x) + (20 + 24)

operate the brackets:


8 = 4x + 44

subtract 44 from both sides:


8 - 44 = (4x + 44) - 44

simplify:


- 36 = 4x

divide all sides by 4:


( - 36)/(4) = (4x)/(4) \\ \\ x = - 9

User RobV
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