2x/(3x+5)=3/(x+4)

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Solution for 2x/(3x+5)=3/(x+4) equation: 



2x/(3x+5)=3/(x+4)

We move all terms to the left:

2x/(3x+5)-(3/(x+4))=0



Domain of the equation: (3x+5)!=0

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

3x!=-5

x!=-5/3

x!=-1+2/3

x∈R





Domain of the equation: (x+4))!=0

x∈R



We calculate fractions


10x^2/((3x+5)*(x+4)))+(-(3*(3x+5))/((3x+5)*(x+4)))=0



We calculate terms in parentheses: -(3*(3x+5))/((3x+5)*(x+4))), so:

3*(3x+5))/((3x+5)*(x+4))

We multiply all the terms by the denominator


3*(3x+5))

We multiply parentheses

9x+

We add all the numbers together, and all the variables

9x

Back to the equation:

-(9x)



We multiply all the terms by the denominator


10x^2-9x*((3x+5)*(x+4)))+(=0

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