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Use the side-spliting theorem to find x.

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the bottom one is messy by ? and 6 equals 15

Cross multiply, then FOIL on both sides.
(x - 1)(x - 2) = (x + 1)(x - 3)

thanks I'll try that again

x^2 - 3x + 2 = x^2 - 2x - 3

Tell me if you get the above.

thats what i got but then x would have to be x^2 - x + 5 = x^2
that would have to be the answer.

Good. Now subtract x^2 from both sides.

0= -x + 5 then add x to the other side
x= 5

That's it. You got it.

I appreciate all the help, I just didn't know I could subtract 2x. thanks very much.

You're welcome.