Solve the equation. Check for extraneous solutions. solve |4x+3|=9+2x

Question

anonymous · Answer

I think its x=3 and x=-3 but im want to double check

e.cociuba · Answer

Separate it into 2 equations when there is an absolute value: 
Solve:
4x+3 = 9+2x
and
4x+3 = -(9+2x)

e.cociuba · Answer

Get x by itself by combining like terms.

e.cociuba · Answer

One of your answers are correct, the other is wrong.

anonymous · Answer

when I solved it that way I got x=3 and x=-2

e.cociuba · Answer

Correct :)

anonymous · Answer

yayy! what about extraneous solutions? are there any? I have no clue what those are

e.cociuba · Answer

I believe there are none. Not quite sure though. It's when solutions you have algebraically derived, but do not conform to the stated limitations or hypotheses of the original problem.

anonymous · Answer

okay I think we got it thank you so much!!

e.cociuba · Answer

The question is not asking for it, so I would leave it at what you have. It just say's "check" for them :)

e.cociuba · Answer

No problemo! :)