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9=(3x+11)/(6x+12)
We move all terms to the left:
9-((3x+11)/(6x+12))=0
Domain of the equation: (6x+12))!=0We multiply all the terms by the denominator
x∈R
-((3x+11)+9*(6x+12))=0
We calculate terms in parentheses: -((3x+11)+9*(6x+12)), so:We get rid of parentheses
(3x+11)+9*(6x+12)
We multiply parentheses
(3x+11)+54x+108
We get rid of parentheses
3x+54x+11+108
We add all the numbers together, and all the variables
57x+119
Back to the equation:
-(57x+119)
-57x-119=0
We move all terms containing x to the left, all other terms to the right
-57x=119
x=119/-57
x=-2+5/57
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