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2-1/6x=5/6x+6
We move all terms to the left:
2-1/6x-(5/6x+6)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x+6)!=0We get rid of parentheses
x∈R
-1/6x-5/6x-6+2=0
We multiply all the terms by the denominator
-6*6x+2*6x-1-5=0
We add all the numbers together, and all the variables
-6*6x+2*6x-6=0
Wy multiply elements
-36x+12x-6=0
We add all the numbers together, and all the variables
-24x-6=0
We move all terms containing x to the left, all other terms to the right
-24x=6
x=6/-24
x=-1/4
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