1/3x+6=2/3x-9

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Solution for 1/3x+6=2/3x-9 equation: 



1/3x+6=2/3x-9

We move all terms to the left:

1/3x+6-(2/3x-9)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 3x-9)!=0

x∈R



We get rid of parentheses

1/3x-2/3x+9+6=0

We multiply all the terms by the denominator


9*3x+6*3x+1-2=0

We add all the numbers together, and all the variables

9*3x+6*3x-1=0

Wy multiply elements

27x+18x-1=0

We add all the numbers together, and all the variables

45x-1=0

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

45x=1

x=1/45

x=1/45

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