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

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



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

We move all terms to the left:

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

x∈R



We calculate fractions


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



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

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

We multiply all the terms by the denominator


4*(x+5))

We multiply parentheses

4x+

We add all the numbers together, and all the variables

4x

Back to the equation:

-(4x)



We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

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