Answer:
x = - 1, x = - 11
Step-by-step explanation:
Given
2| x + 6 | - 4 = 6 ( add 4 to both sides )
2|x + 6 | = 10 ( divide both sides by 2 )
| x + 6 | = 5
The absolute value function always gives a positive result, but the expression inside can be positive or negative, that is
x + 6 = 5 or - (x + 6) = 5
solve both
x + 6 = 5 ( subtract 6 from both sides )
x = - 1
or
- (x + 6) = 5 , that is
- x - 6 = 5 ( add 6 to both sides )
- x = 11 ( multiply both sides by - 1 )
x = - 11
