SOLUTION: if 4/2x-2=1/x+1, then x= i don't understand how to get the solution, the solution is -3. I just don't understand how to work this equation out.

Algebra ->  Real-numbers -> SOLUTION: if 4/2x-2=1/x+1, then x= i don't understand how to get the solution, the solution is -3. I just don't understand how to work this equation out.       Log On


   

Question 253966: if 4/2x-2=1/x+1, then x=
i don't understand how to get the solution, the solution is -3. I just don't understand how to work this equation out.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%282x-2%29=1%2F%28x%2B1%29 Start with the given equation.


4%28x%2B1%29=1%282x-2%29 Cross multiply.


4x%2B4=2x-2 Distribute.


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


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


2x=-2-4 Combine like terms on the left side.


2x=-6 Combine like terms on the right side.


x=%28-6%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-3 Reduce.


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Answer:

So the solution is x=-3