3/(7x+2)=5/(x+9)

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Solution for 3/(7x+2)=5/(x+9) equation: 



3/(7x+2)=5/(x+9)

We move all terms to the left:

3/(7x+2)-(5/(x+9))=0



Domain of the equation: (7x+2)!=0

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

7x!=-2

x!=-2/7

x!=-2/7

x∈R





Domain of the equation: (x+9))!=0

x∈R



We calculate fractions


3x/((7x+2)*(x+9)))+(-(5*(7x+2))/((7x+2)*(x+9)))=0



We calculate terms in parentheses: -(5*(7x+2))/((7x+2)*(x+9))), so:

5*(7x+2))/((7x+2)*(x+9))

We multiply all the terms by the denominator


5*(7x+2))

We multiply parentheses

35x+

We add all the numbers together, and all the variables

35x

Back to the equation:

-(35x)



We add all the numbers together, and all the variables

-35x+3x/((7x+2)*(x+9)))+(=0

We multiply all the terms by the denominator


-35x*((7x+2)*(x+9)))+(+3x=0

We add all the numbers together, and all the variables

3x-35x*((7x+2)*(x+9)))+(=0

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