SOLUTION: 5x-10 over 8-4x

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Question 151674: 5x-10 over 8-4x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285x-10%29%2F%288-4x%29 Start with the given expression.


%285%28x-2%29%29%2F%288-4x%29 Factor 5x-10 to get 5%28x-2%29.


%285%28x-2%29%29%2F%28-4%28x-2%29%29 Factor 8-4x to get 4%282-x%29=-4%28x-2%29.


%28-5%28x-2%29%29%2F%284%28x-2%29%29 Simplify


%28-5highlight%28%28x-2%29%29%29%2F%284highlight%28%28x-2%29%29%29 Highlight the common terms.


%28-5cross%28%28x-2%29%29%29%2F%284cross%28%28x-2%29%29%29 Cancel out the common terms.


-5%2F4 Simplify.


So %285x-10%29%2F%288-4x%29 simplifies to -5%2F4.


In other words, %285x-10%29%2F%288-4x%29=-5%2F4 where x%3C%3E2