What are the solutions to the equation |x - 8| + 2 = 20 ​

Question

What are the solutions to the equation

`|x - 8| + 2 = 20`
​

Answer 1

Solutions are -10 and 26

Explanation:

( - the abolute sign I'm using

( x - 8 ) + 2 = 20

( x - 8 ) = 18

x - 8 = 18 (postive case)

x - 8 + 8 = 18 + 8

x = 26

( x - 8 ) = 18

x - 8 = -18 (negative case)

x - 8 + 8 = -18 + 8

x = -10