Hello, Mathfailure!

I have a rational equation: .2x/(x-1) - 2/(x) .= .7/(3x-3)

I figured out that x(3x-3) is the LCD . . .

Why didn't you leave the LCD inform? . . . 3x(x - 1)factored

When we multiply through by the LCD, we get:

. . . . . . . . . .2x . . . . . . . . . .2 . . . . . . . . . . . . 7

. . 3x(x - 1)·------ .- .3x(x - 1)·-- . = . 3x(x - 1)·---------

. . . . . . . . .x - 1 . . . . . . . . . x . . . . . . . . . . 3(x - 1)

Now you can cancel, right?