SOLUTION: 4-x/x-2=-2/x-2 I am not sure where to start in this problem? I am thinking that the both x-2 will cancelle out but i am not to sure if that is correct.

Algebra ->  Radicals -> SOLUTION: 4-x/x-2=-2/x-2 I am not sure where to start in this problem? I am thinking that the both x-2 will cancelle out but i am not to sure if that is correct.       Log On


   

Question 146736: 4-x/x-2=-2/x-2
I am not sure where to start in this problem? I am thinking that the both x-2 will cancelle out but i am not to sure if that is correct.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Does your equation look like this: %284-x%29%2F%28x-2%29=%28-2%29%2F%28x-2%29????


%284-x%29%2F%28x-2%29=%28-2%29%2F%28x-2%29 Start with the given equation


Multiply both sides by x-2. Notice how the denominators cancel out.


4-x=-2 Simplify


-x=-2-4 Subtract 4 from both sides.


-x=-6 Combine like terms on the right side.


x=%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=6 Reduce.


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Answer:

So the answer is x=6