How do you solve #8| x | + 19= 11#?

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Answer 1 · 2016-10-27T08:17:44

This equation has no solutions. See explanation.

To solve such equation you have to move the unknown to one side leaving the number on the other side:

#8|x|+19=11#

#8|x|=11-19#

#8|x|=-8#

Now we can divide both sides by #8#

#|x|=-1#

But this equation has no solutions because the absolute value of a real number is never lower than zero, so it cannot be #-1#.