Question

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

Answer 1

Answer:

Answer: x is -9

Step-by-step 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:

$\frac{ - 36}{4} = \frac{4x}{4} \\ \\ x = - 9$