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-1=0

Wy multiply elements

-6x-9x-1=0

We add all the numbers together, and all the variables

-15x-1=0

We move all terms containing x to the left, all other terms to the right

-15x=1

x=1/-15

x=-1/15

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