Question

Solve the absolute value equation. |x-8| +7=9​

Answer 1

Hi there! :)

$\large\boxed{x = 6, 10}$

|x - 8| + 7 = 9

Subtract 7 from both sides:

|x - 8| = 2

Solve for both solutions by evaluating the expression as negative and positive:

x - 8 = 2

x = 10

-(x - 8) = 2

Divide both sides by -1:

x - 8 = -2

x = 6.

Therefore, the solutions are:

x = 6, 10