3/(x-2)=5/(x+1)

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Solution for 3/(x-2)=5/(x+1) equation: 



3/(x-2)=5/(x+1)

We move all terms to the left:

3/(x-2)-(5/(x+1))=0



Domain of the equation: (x-2)!=0

We move all terms containing x to the left, all other terms to the right

x!=2

x∈R





Domain of the equation: (x+1))!=0

x∈R



We calculate fractions


3x/((x-2)*(x+1)))+(-(5*(x-2))/((x-2)*(x+1)))=0



We calculate terms in parentheses: -(5*(x-2))/((x-2)*(x+1))), so:

5*(x-2))/((x-2)*(x+1))

We multiply all the terms by the denominator


5*(x-2))

We multiply parentheses

5x+

We add all the numbers together, and all the variables

5x

Back to the equation:

-(5x)



We add all the numbers together, and all the variables

-5x+3x/((x-2)*(x+1)))+(=0

We multiply all the terms by the denominator


-5x*((x-2)*(x+1)))+(+3x=0

We add all the numbers together, and all the variables

3x-5x*((x-2)*(x+1)))+(=0

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