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2/3x-2=1/3x+6
We move all terms to the left:
2/3x-2-(1/3x+6)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+6)!=0We get rid of parentheses
x∈R
2/3x-1/3x-6-2=0
We multiply all the terms by the denominator
-6*3x-2*3x+2-1=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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