Question

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

Answer 1

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.