7/(x+3)=-21/(x+7)

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Solution for 7/(x+3)=-21/(x+7) equation: 



7/(x+3)=-21/(x+7)

We move all terms to the left:

7/(x+3)-(-21/(x+7))=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+7))!=0

x∈R



We calculate fractions


7x/((x+3)*(x+7)))+(-(-21*(x+3))/((x+3)*(x+7)))=0



We calculate terms in parentheses: -(-21*(x+3))/((x+3)*(x+7))), so:

-21*(x+3))/((x+3)*(x+7))

We multiply all the terms by the denominator


-21*(x+3))

We multiply parentheses

-21x-

We add all the numbers together, and all the variables

-21x

Back to the equation:

-(-21x)



We get rid of parentheses

7x/((x+3)*(x+7)))+(+21x=0

We multiply all the terms by the denominator


7x+21x*((x+3)*(x+7)))+(=0

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