# 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 ->  Algebra  -> Expressions-with-variables -> 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

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Question 172127: 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 xAnswer by stanbon(57250)   (Show Source): You can put this solution on YOUR website!5/x + 7/6 = 4/(x-4) -------- Since you have an equation you don't want an lcd, you want a least common multiple. lcm = 6x(x-4) -------- Multiply thru by the lcm to get: 5*6(x-4) + 7x(x-4) = 4*6x 30x-120 + 7x^2-28 = 24x 7x^2 + 6x - 148 = 0 Solve with the quadratic formula ====================================== Cheers, Stan H.