1/3x+2=2/3x-6

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Solution for 1/3x+2=2/3x-6 equation: 



1/3x+2=2/3x-6

We move all terms to the left:

1/3x+2-(2/3x-6)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 3x-6)!=0

x∈R



We get rid of parentheses

1/3x-2/3x+6+2=0

We multiply all the terms by the denominator


6*3x+2*3x+1-2=0

We add all the numbers together, and all the variables

6*3x+2*3x-1=0

Wy multiply elements

18x+6x-1=0

We add all the numbers together, and all the variables

24x-1=0

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

24x=1

x=1/24

x=1/24

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