1/3x=2-1/3x

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Solution for 1/3x=2-1/3x equation:



1/3x=2-1/3x
We move all terms to the left:
1/3x-(2-1/3x)=0
Domain of the equation: 3x!=0
x!=0/3
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
1/3x-(-1/3x+2)=0
We get rid of parentheses
1/3x+1/3x-2=0
We multiply all the terms by the denominator
-2*3x+1+1=0
We add all the numbers together, and all the variables
-2*3x+2=0
Wy multiply elements
-6x+2=0
We move all terms containing x to the left, all other terms to the right
-6x=-2
x=-2/-6
x=1/3

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