SOLUTION: I need help simplifying this equation: x/x-6 = 1/x-4 Thanks!

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Question 458304: I need help simplifying this equation:
x/x-6 = 1/x-4
Thanks!

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x-6%29+=+1%2F%28x-4%29
cross multiply
x(x-4)=x-6
x^2-4x=x-6
x^2-5x+6=0
x^2+6x-x+6=0
x(x+6)-1(x+6)=0
(x+6)(x-1)=0
x= -6 OR 1