# SOLUTION: 5/x + 7/6 = 4/(x-4), solve for x. I am confused as to how I come up with the LCD for these to be able to solve for x

Algebra ->  -> SOLUTION: 5/x + 7/6 = 4/(x-4), solve for x. I am confused as to how I come up with the LCD for these to be able to solve for x      Log On

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 Question 172130: 5/x + 7/6 = 4/(x-4), solve for x. I am confused as to how I come up with the LCD for these to be able to solve for xFound 2 solutions by josmiceli, solver91311:Answer by josmiceli(10616)   (Show Source): You can put this solution on YOUR website! If you multiply each side by , that will guarantee that no fractions will be left Use quadratic formula and I checked both answers, and they look right Answer by solver91311(18785)   (Show Source): You can put this solution on YOUR website!Your 3 denominators are x, 6, and (x-4). Not a common factor among them. You are stuck with using the product of the three, namely The good news is, once you apply the LCD to all three fractions, you can simply eliminate the denominators by multiplying both sides of the equation by the LCD. You only have to deal with the numerators.