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2=(x+11)/(x-12)
We move all terms to the left:
2-((x+11)/(x-12))=0
Domain of the equation: (x-12))!=0We multiply all the terms by the denominator
x∈R
-((x+11)+2*(x-12))=0
We calculate terms in parentheses: -((x+11)+2*(x-12)), so:We get rid of parentheses
(x+11)+2*(x-12)
We multiply parentheses
(x+11)+2x-24
We get rid of parentheses
x+2x+11-24
We add all the numbers together, and all the variables
3x-13
Back to the equation:
-(3x-13)
-3x+13=0
We move all terms containing x to the left, all other terms to the right
-3x=-13
x=-13/-3
x=4+1/3
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