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

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



X/(X+3)=5/(X+7)

We move all terms to the left:

X/(X+3)-(5/(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


8X^2/((X+3)*(X+7)))+(-(5*(X+3))/((X+3)*(X+7)))=0



We calculate terms in parentheses: -(5*(X+3))/((X+3)*(X+7))), so:

5*(X+3))/((X+3)*(X+7))

We multiply all the terms by the denominator


5*(X+3))

We multiply parentheses

5X+

We add all the numbers together, and all the variables

5X

Back to the equation:

-(5X)



We multiply all the terms by the denominator


8X^2-5X*((X+3)*(X+7)))+(=0

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