Question 257086
The absolute value of an expression always yield a positive result.  Therefore, in this equation, the absolute value of 5 and -5 will result in positive 5.


Your answers are: {{{x=-1}}} and {{{x=-11}}}


Proof: If we substitute these two values in the original equation, we get...


| x + 6 | = 5
| -1 + 6 | = 5
| 5 | = 5


| x + 6 | = 5
| -11 + 6 | = 5
| -5 | = 5