3/(x+5)=7/(x+4)

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Solution for 3/(x+5)=7/(x+4) equation: 



3/(x+5)=7/(x+4)

We move all terms to the left:

3/(x+5)-(7/(x+4))=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+4))!=0

x∈R



We calculate fractions


3x/((x+5)*(x+4)))+(-(7*(x+5))/((x+5)*(x+4)))=0



We calculate terms in parentheses: -(7*(x+5))/((x+5)*(x+4))), so:

7*(x+5))/((x+5)*(x+4))

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 add all the numbers together, and all the variables

-7x+3x/((x+5)*(x+4)))+(=0

We multiply all the terms by the denominator


-7x*((x+5)*(x+4)))+(+3x=0

We add all the numbers together, and all the variables

3x-7x*((x+5)*(x+4)))+(=0

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