7/(a-1)=5/(a+3)

Solution for 7/(a-1)=5/(a+3) equation:

7/(a-1)=5/(a+3)

We move all terms to the left:

7/(a-1)-(5/(a+3))=0


Domain of the equation: (a-1)!=0

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

a!=1

a∈R



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

a∈R


We calculate fractions


7a/((a-1)*(a+3)))+(-(5*(a-1))/((a-1)*(a+3)))=0


We calculate terms in parentheses: -(5*(a-1))/((a-1)*(a+3))), so:

5*(a-1))/((a-1)*(a+3))

We multiply all the terms by the denominator


5*(a-1))

We multiply parentheses

5a+

We add all the numbers together, and all the variables

5a

Back to the equation:

-(5a)


We add all the numbers together, and all the variables

-5a+7a/((a-1)*(a+3)))+(=0

We multiply all the terms by the denominator


-5a*((a-1)*(a+3)))+(+7a=0

We add all the numbers together, and all the variables

7a-5a*((a-1)*(a+3)))+(=0