SOLUTION: Solve and check for x. Please help - I don't understand! x/x-2 - x+1/x = 8/x^2-2x I had a hard time typing this in. It is x over x-2 minus x+1 over x equals 8 over x squared

Question 38065: Solve and check for x. Please help - I don't understand!
x/x-2 - x+1/x = 8/x^2-2x
I had a hard time typing this in. It is x over x-2 minus x+1 over x equals 8 over x squared minus 2x. I hope that helps!
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The first step is to multiply everything by the lowest common denominator, which in this problem is (x^2 - 2x) or x(x - 2)...so from
x / (x-2) - (x+1) / x = 8 / (x^2 - 2x)
let's do just that...
(x(x - 2))[x / (x - 2) - (x + 1) / x = 8 / (x^2 - 2x)]
now cancel where you can and get
x^2 - (x + 1)(x - 2) = 8
Now expand, collect terms and solve
x^2 - x^2 + x + 2 = 8
x + 2 = 8
x = 6
RELATED QUESTIONS
Hi I need to solve and check the equations for x: x/x-2-x+1/x=8/x^2-2x {{{x/(x -... (answered by scianci)

I am trying to solve this equation and I am having a hard time with it... x^-1 + 3/(x+2)... (answered by Alan3354,Edwin McCravy)

Solve and check each of the following equations for x. This is easy and i think I am... (answered by scott8148,MathLover1)

Solve and check equation for x. x/x-2 - x+1/x = 8/x^2-2x This is what I have so... (answered by edjones)

f(x)=3X+2 and g(x)=-2X+1 find g(f(-2)) I don't understand how to solve this... (answered by ikleyn)

x-8(3.14)=3.14 This is what I have gotten for the equation above. Can you please see if (answered by stanbon)

this problem is asking to solve and check for x, i do not understand, please help... (answered by stanbon)

Solve and check for x... (answered by ankor@dixie-net.com)

What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)