SOLUTION: i need help adding this rational expression with unlike denominators: 6(4x-3)/3-4x - 4(3-x)/4x-3 + -8(x+2)/3-4x do you first multiply three minus four x times four x minus three

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Question 109434This question is from textbook
: i need help adding this rational expression with unlike denominators:
6(4x-3)/3-4x - 4(3-x)/4x-3 + -8(x+2)/3-4x do you first multiply three minus four x times four x minus three
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6(4x-3)/3-4x - 4(3-x)/4x-3 + -8(x+2)/3-4x
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Change 4x-3 = -(3-4x) so all the denominators will be the same:
Then use that "-"to change the sign of the fraction:

6(4x-3)/(3-4x) + 4(3-x)/(3-4x) + -8(x+2)/(3-4x)
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Combine the numerators over the common denominator of 3-4x:
[24x-18+12-4x-8x-16]/(3-4x)
Simplify the numerator:
= [12x-22]/(3-4x)
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Cheers,
Stan H.