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

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



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

We move all terms to the left:

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



Domain of the equation: (x+3)!=0

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

x!=-3

x∈R





Domain of the equation: (x-3))!=0

x∈R



We calculate fractions


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



We calculate terms in parentheses: -(4*(x+3))/((x+3)*(x-3))), so:

4*(x+3))/((x+3)*(x-3))

We multiply all the terms by the denominator


4*(x+3))

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

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