SOLUTION: This is not from a textbook. Subtract. Simplify, if possible. x-8/x - 3x-19/5x Thank you in advance.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is not from a textbook. Subtract. Simplify, if possible. x-8/x - 3x-19/5x Thank you in advance.       Log On


   

Question 125723: This is not from a textbook.
Subtract. Simplify, if possible.
x-8/x - 3x-19/5x
Thank you in advance.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-8%29%2F%28x%29-%283x-19%29%2F%285x%29 Start with the given expression.


%285%2F5%29%28%28x-8%29%2F%28x%29%29-%283x-19%29%2F%285x%29 Multiply the first fraction by 5%2F5.


%285x-40%29%2F%285x%29-%283x-19%29%2F%285x%29 Distribute and multiply.


%285x-40-%283x-19%29%29%2F%285x%29 Combine the fractions.


%285x-40-3x%2B19%29%2F%285x%29 Distribute the negative.


%282x-21%29%2F%285x%29 Combine like terms.