3/(x-5)=2/(x+4)

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Solution for 3/(x-5)=2/(x+4) equation: 



3/(x-5)=2/(x+4)

We move all terms to the left:

3/(x-5)-(2/(x+4))=0



Domain of the equation: (x-5)!=0

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

x!=5

x∈R





Domain of the equation: (x+4))!=0

x∈R



We calculate fractions


3x/((x-5)*(x+4)))+(-(2*(x-5))/((x-5)*(x+4)))=0



We calculate terms in parentheses: -(2*(x-5))/((x-5)*(x+4))), so:

2*(x-5))/((x-5)*(x+4))

We multiply all the terms by the denominator


2*(x-5))

We multiply parentheses

2x+

We add all the numbers together, and all the variables

2x

Back to the equation:

-(2x)



We add all the numbers together, and all the variables

-2x+3x/((x-5)*(x+4)))+(=0

We multiply all the terms by the denominator


-2x*((x-5)*(x+4)))+(+3x=0

We add all the numbers together, and all the variables

3x-2x*((x-5)*(x+4)))+(=0

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