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

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



-1/3x+3=2/3x-2
We move all terms to the left:
-1/3x+3-(2/3x-2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-2)!=0
x∈R
We get rid of parentheses
-1/3x-2/3x+2+3=0
We multiply all the terms by the denominator
2*3x+3*3x-1-2=0
We add all the numbers together, and all the variables
2*3x+3*3x-3=0
Wy multiply elements
6x+9x-3=0
We add all the numbers together, and all the variables
15x-3=0
We move all terms containing x to the left, all other terms to the right
15x=3
x=3/15
x=1/5

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