SOLUTION: how do you solve for x: 1/x+1/x-3=1/2

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Question 558673: how do you solve for x:
1/x+1/x-3=1/2
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx%2B%281%2F%28x-3%29%29=1%2F2
LCD of the equation is 2x(x-3)
multiply the equation by 2x(x-3)
2(x-3)+2x= x(x-3)
2x-6+2x=x^2-3x
4x-6=x^2-3x
x^2-7x+6=0
x^2-6x-x+6=0
x(x-6)-1(x-6)=0
(x-1)(x-6)=0
x=1 OR 6