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

1 Answer
Daniel L.
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.

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