How do you solve abs(2x + 3) - 6 = 11 ?

1 Answer
Aug 17, 2015

x = 7 or x = -10

Explanation:

|2x+3| = 17

Method 1:
2x+3 = 17, " if " 2x+3 > 0
x = 7

-(2x+3) = 17, " if " 2x+3 < 0
x = -10

Method 2:
(2x+3)^2 = 17^2
x^2 + 3x - 70 = 0
(x-7)(x+10) = 0
x = 7 or x = -10