2/(x+3)=4/x

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



2/(x+3)=4/x
We move all terms to the left:
2/(x+3)-(4/x)=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)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
2/(x+3)-(+4/x)=0
We get rid of parentheses
2/(x+3)-4/x=0
We calculate fractions
2x/(x^2+3x)+(-4x-12)/(x^2+3x)=0
We multiply all the terms by the denominator
2x+(-4x-12)=0
We get rid of parentheses
2x-4x-12=0
We add all the numbers together, and all the variables
-2x-12=0
We move all terms containing x to the left, all other terms to the right
-2x=12
x=12/-2
x=-6

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