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2/3x+1=1/3x-6
We move all terms to the left:
2/3x+1-(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+1=0
We multiply all the terms by the denominator
6*3x+1*3x+2-1=0
We add all the numbers together, and all the variables
6*3x+1*3x+1=0
Wy multiply elements
18x+3x+1=0
We add all the numbers together, and all the variables
21x+1=0
We move all terms containing x to the left, all other terms to the right
21x=-1
x=-1/21
x=-1/21
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