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5/x+5=25/x+9

5/x=25/x+4

5=x*(25/x+4)

5=25+4x

-20=4x

-5=x

We'll check this:

5/(-5)+5=25/(-5)+9

-1+5=-5+9

4=4

Yep, it's right.

This check isn't entirely optional, since we divided by x, so if x was calculated to be zero we would have to report that there are no solutions (you can't divide by 0).

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14y ago

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