2/(x+4)-1/x=2/(3x)

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Solution for 2/(x+4)-1/x=2/(3x) equation: 



2/(x+4)-1/x=2/(3x)

We move all terms to the left:

2/(x+4)-1/x-(2/(3x))=0



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

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

x!=-4

x∈R





Domain of the equation: x!=0

x∈R





Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

2/(x+4)-1/x-(+2/3x)=0

We get rid of parentheses

2/(x+4)-1/x-2/3x=0

We calculate fractions


(-3x^2-12x)/((x+4)*x*3x)+(-2x^2-8x)/((x+4)*x*3x)+18x^2/((x+4)*x*3x)=0



We calculate terms in parentheses: +(-3x^2-12x)/((x+4)*x*3x), so:

-3x^2-12x)/((x+4)*x*3x

We multiply all the terms by the denominator


-3x^2*((x+4)*x*3x-12x)

Back to the equation:

+(-3x^2*((x+4)*x*3x-12x))





We calculate terms in parentheses: +(-2x^2-8x)/((x+4)*x*3x), so:

-2x^2-8x)/((x+4)*x*3x

We multiply all the terms by the denominator


-2x^2*((x+4)*x*3x-8x)

Back to the equation:

+(-2x^2*((x+4)*x*3x-8x))



We multiply all the terms by the denominator


((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x)+((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x)+18x^2=0



We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x



We add all the numbers together, and all the variables

18x^2+((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x)+((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x)=0



We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x), so:

(-3x^2*((x+4)*x*3x-12x)))*((x+4)*x*3x





We calculate terms in parentheses: +((-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x), so:

(-2x^2*((x+4)*x*3x-8x)))*((x+4)*x*3x



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