SOLUTION: can you solve and show work for this rational equation please (2x-1)/(x+4)=(x+3)/(3x-4)

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Question 217248: can you solve and show work for this rational equation please (2x-1)/(x+4)=(x+3)/(3x-4)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(2x-1)/(x+4)=(x+3)/(3x-4)
(2x-1)(3x-4)=(x+4)(x+3)
6x^2-11x+4=x^2+7x+12
6x^2-x^2-11x-7x+4-12=0
5x^2-18x-8=0
(5x+2)(x-4)=0
5x+2=0
5x=-2
x=-2/5
x=-.4 ans.
x-4=0
x=4 ans.