1/3x+3=2/3x+1

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



1/3x+3=2/3x+1
We move all terms to the left:
1/3x+3-(2/3x+1)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+1)!=0
x∈R
We get rid of parentheses
1/3x-2/3x-1+3=0
We multiply all the terms by the denominator
-1*3x+3*3x+1-2=0
We add all the numbers together, and all the variables
-1*3x+3*3x-1=0
Wy multiply elements
-3x+9x-1=0
We add all the numbers together, and all the variables
6x-1=0
We move all terms containing x to the left, all other terms to the right
6x=1
x=1/6
x=1/6

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