Question

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

Answer 1

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`