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x/(x+1)=0.2/0.3
We move all terms to the left:
x/(x+1)-(0.2/0.3)=0
Domain of the equation: (x+1)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
x!=-1
x∈R
x/(x+1)-(+0.2/0.3)=0
We get rid of parentheses
x/(x+1)-0.2/0.3=0
We calculate fractions
(0.3x)/(0.3x+0.3)+(-0.2x-0.2)/(0.3x+0.3)=0
We add all the numbers together, and all the variables
(+0.3x)/(0.3x+0.3)+(-0.2x-0.2)/(0.3x+0.3)=0
We multiply all the terms by the denominator
(+0.3x)+(-0.2x-0.2)=0
We get rid of parentheses
0.3x-0.2x-0.2=0
We add all the numbers together, and all the variables
0.1x-0.2=0
We move all terms containing x to the left, all other terms to the right
0.1x=0.2
x=0.2/0.1
x=2
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