Easy (yet confusing) Algebra

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These problems are pretty easy, but confusing (as stated in the subject line).

|2x+5|-x=10

|3x+4|-2x=11

I know there are supposed to be two answers for each problem, for the first problem I got 5 and for the second problem I got 7. I can't figure out the other answers for the problems. I would greatly appreciate any help I receive! Thanks!

Since it's absolute value,
2x+5=10+x OR
2x+5=-10-x

Just solve for x, and you get x=5, -5

Just do the same with the other!

I felt so stupid...I was solving the problems a completely different way! That's why I couldn't figure out the answers. Thanks for all your help, Mischa! :-)

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