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## Main Question or Discussion Point

**Easy Fraction Problem (Forgot how to do it!!)**

I came across a problem that I forgot how to do, please help me out here. thanks!

Solve for x: [tex] \frac{1}{x-1}+\frac{3}{x+3}=1 [/tex]

My questions: I know the common denominator is (x-1)(x+3) but do you multiply this number on both sides of the equal sign or just the left?

Can anyone please show me step by step how to solve this? For some reason I keep thinking of it as:

[tex] \frac{x+3}{x-1}+\frac{x-1}{x+3}=(x-1)(x+3) [/tex]

I know this is wrong, right?

Because I think that the x-1 and x+3 cancel out when you multiply them. Can someone clear up my misunderstandings?? This reason is I haven't done fractions in a year lol.