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

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



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

We move all terms to the left:

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

x∈R



We calculate fractions


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



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

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

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+5)))+(=0

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

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