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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