SOLUTION: Hi, I have to solve the following equation: 3/x+ 5/x+2 = 2 ^ Ive had trouble searching information on these types of equations because in the 5/x+2 part the '2'

Question 983667: Hi, I have to solve the following equation:
3/x+ 5/x+2 = 2
^ Ive had trouble searching information on these types of equations because in the 5/x+2 part the '2' is actually in the denominator, not beside the fraction, but all search engines pick it as being to the right.
What I tried was multiplying both sides by x to get 3+5/2= 2 and then solving it, but I don't think I'm allowed to cancel out the x from x+2 in this way. Any help would be much appreciated.
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

In order to add two fractions with dissimilar denominators, you need a common denominator. Since there are no common factors between these two denominators, the lowest common denominator is simply the product of the two denominators. Hence:

Multiply both sides by the now common denominator, collect like terms, put the quadratic into standard form, namely , and then solve by any convenient means.

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Is this the problem:

If so, multiply both sides by

Divide both sides by

By looking at this, I see the solution is:

--------------
Check solutions by plugging them back into
the original problem

OK

OK
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