# How do you solve 10 - |x + 2| = 12?

Aug 22, 2016

This equation has no solutions. See explanation for details.

#### Explanation:

To solve this equation first we have to move $10$ to the right side to leave absolute value alone on the left side.

$10 - | x + 2 | = 12$

$- | x + 2 | = 2$

Now we can multiply both sides by $- 1$ to get rid of minus sign in front of absolute value.

$| x + 2 | = - 2$

This equation has no solurions because absolute value of an expression cannot be negative. Hence the original equation does not have any solutions also.