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

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



(2)/(x)+(3)/(x+2)=1
We move all terms to the left:
(2)/(x)+(3)/(x+2)-(1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (x+2)!=0
We move all terms containing x to the left, all other terms to the right
x!=-2
x∈R
We calculate fractions
(2x+4)/(x^2+2x)+3x/(x^2+2x)-1=0
We multiply all the terms by the denominator
(2x+4)+3x-1*(x^2+2x)=0
We add all the numbers together, and all the variables
3x+(2x+4)-1*(x^2+2x)=0
We get rid of parentheses
3x+2x-1*(x^2+2x)+4=0
We add all the numbers together, and all the variables
5x-1*(x^2+2x)+4=0
We move all terms containing x to the left, all other terms to the right
5x-1*(x^2+2x)=-4

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