SOLUTION: Solve the equation 3/ (x-4) + 5 / (x+4) = 7x / (x^2 -16)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Solve the equation 3/ (x-4) + 5 / (x+4) = 7x / (x^2 -16)      Log On


   

Question 180342: Solve the equation 3/ (x-4) + 5 / (x+4) = 7x / (x^2 -16)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation 3/ (x-4) + 5 / (x+4) = 7x / (x^2 -16)
%283%2F%28x-4%29%29+%2B+%285%2F%28x%2B4%29%29+=+7x%2F%28x%5E2-16%29
%28x%5E2-16%29 is the DEN since it's (x-4)*(x+4)
%283%2F%28x-4%29%29+%2B+%285%2F%28x%2B4%29%29+=+7x%2F%28x%5E2-16%29
3%28x%2B4%29%2F%28DEN%29+%2B+5%28x-4%29%2F%28DEN%29+=+7x%2F%28DEN%29
Multiply thru by the DEN
3(x+4) + 5(x-4) = 7x
3x+12 + 5x-20 = 7x
8x-8 = 7x
x = 8