SOLUTION: Please help me solve this: {{{(4x)/(5x-2)-(2x)/(5x+1)}}}

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Question 79009: Please help me solve this:
%284x%29%2F%285x-2%29-%282x%29%2F%285x%2B1%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to combine the fractions we need to find the LCD. The LCD is the common factor that each denominator can multiply to, so in this case the LCD is

%285x-2%29%285x%2B1%29

Notice we can multiply each denominator with the piece that is needed to get to the LCD. So lets multiply each term by the missing piece

Multiply each fraction by a form of 1 to make the denominators the same

Multiply the fractions

Distribute

%2820x%5E2%2B4x-10x%5E2%2B4x%29%2F%28%285x%2B1%29%285x-2%29%29 Combine the numerators

%2810x%5E2%2B8x%29%2F%28%285x%2B1%29%285x-2%29%29 Combine like terms. This is the simplified answer