SOLUTION: Subtract and simplify: (7/x - 2) - (3 - x/x)

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Question 388151: Subtract and simplify:
(7/x - 2) - (3 - x/x)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2Fx+-+2%29+-+%283+-+x%2Fx%29
Any number divided by itself, like x/x, is 1:
%287%2Fx+-+2%29+-+%283+-+1%29
3-1 = 2
%287%2Fx+-+2%29+-+%282%29
-2 - 2 = -4
7%2Fx+-+4
To subtract we have to have the same denominator:
7%2Fx+-+4%28x%2Fx%29
7%2Fx+-+%284%2F1%29%28x%2Fx%29
7%2Fx+-+%284x%2Fx%29
Now we can subtract:
%287-4x%29%2Fx

If the problem was
7%2F%28x-2%29+-+%283-x%29%2Fx
then please use parentheses around multiple term numerators, like 3-x, and denominators, like x-2. For example:
7/(x-2) - (3-x)/x