Question 503298: Add or subtract and simplify your answers.
(7/x+2) - (4/2x-3)
Answer by nic0le116(25)   (Show Source):
You can put this solution on YOUR website! The goal is to eliminate the denominators.
You should first make sure you can not factor anything, and then proceed.
Find the common denominator (every number/polynomial in the denominator must be represented)
In this case our common denominator is (2x-3)(x+2)
Multiply each side by (2x-3)(x+2)
Since (7/x+2) already contains x+2, these cancel, and you only multiply
7(2x-3)= 14x-21
Likewise with 4/2x-3. The 2x-3 on the denominator cancels and you multiply 4(x+2)= 4x+8
At this point your problem should look like this:
(14x-21)- (4x+8).
Since we have subtraction, we treat the negative sign like distributing a -1.
We then have:
14x-21-4x-8
Condense:
10x-29
Always check to see if you can further factor.
In this case, you can not.
Answer=10x-29
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