3/(x-5)=-7/(x+5)

Solution for 3/(x-5)=-7/(x+5) equation:

3/(x-5)=-7/(x+5)

We move all terms to the left:

3/(x-5)-(-7/(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)))+(-(-7*(x-5))/((x-5)*(x+5)))=0


We calculate terms in parentheses: -(-7*(x-5))/((x-5)*(x+5))), so:

-7*(x-5))/((x-5)*(x+5))

We multiply all the terms by the denominator


-7*(x-5))

We multiply parentheses

-7x-

We add all the numbers together, and all the variables

-7x

Back to the equation:

-(-7x)


We get rid of parentheses

3x/((x-5)*(x+5)))+(+7x=0

We multiply all the terms by the denominator


3x+7x*((x-5)*(x+5)))+(=0