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-6+1/3x-7-1/6x=-13+1/6x
We move all terms to the left:
-6+1/3x-7-1/6x-(-13+1/6x)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
1/3x-1/6x-(1/6x-13)-6-7=0
We add all the numbers together, and all the variables
1/3x-1/6x-(1/6x-13)-13=0
We get rid of parentheses
1/3x-1/6x-1/6x+13-13=0
We calculate fractions
6x/18x^2+(-3x-1)/18x^2+13-13=0
We add all the numbers together, and all the variables
6x/18x^2+(-3x-1)/18x^2=0
We multiply all the terms by the denominator
6x+(-3x-1)=0
We get rid of parentheses
6x-3x-1=0
We add all the numbers together, and all the variables
3x-1=0
We move all terms containing x to the left, all other terms to the right
3x=1
x=1/3
x=1/3
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