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5=(6x+5)/(6x+11)
We move all terms to the left:
5-((6x+5)/(6x+11))=0
Domain of the equation: (6x+11))!=0We multiply all the terms by the denominator
x∈R
-((6x+5)+5*(6x+11))=0
We calculate terms in parentheses: -((6x+5)+5*(6x+11)), so:We get rid of parentheses
(6x+5)+5*(6x+11)
We multiply parentheses
(6x+5)+30x+55
We get rid of parentheses
6x+30x+5+55
We add all the numbers together, and all the variables
36x+60
Back to the equation:
-(36x+60)
-36x-60=0
We move all terms containing x to the left, all other terms to the right
-36x=60
x=60/-36
x=-1+2/3
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