SOLUTION: 6/2-x +6/x+7=61/2-x how do i figure this out..... i have a quiz soon on questions like these and I'm not getting it..... can you please show me the steps?

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Question 147445: 6/2-x +6/x+7=61/2-x
how do i figure this out..... i have a quiz soon on questions like these and I'm not getting it..... can you please show me the steps?
Found 2 solutions by jim_thompson5910, vleith:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation.

Multiply every term on both sides by the LCD . Doing this will eliminate all of the fractions.

Simplify.

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the answer is

Which approximates to

Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
Given
In this case, the first term on the left and the one on the right have the same denominator. So we can simplify them as is

Now we can 'cross multiply' to get rid of the denominators on each side

Now combine like terms