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314=(13/x-2)-(12x-13)+2(150+x)
We move all terms to the left:
314-((13/x-2)-(12x-13)+2(150+x))=0
Domain of the equation: x-2)-(12x-13)+2(150+x))!=0We add all the numbers together, and all the variables
x∈R
-((13/x-2)-(12x-13)+2(x+150))+314=0
We multiply all the terms by the denominator
-((13+314*x-2)-(12x-13)+2(x+150))=0
We calculate terms in parentheses: -((13+314*x-2)-(12x-13)+2(x+150)), so:We get rid of parentheses
(13+314*x-2)-(12x-13)+2(x+150)
We add all the numbers together, and all the variables
(314x+11)-(12x-13)+2(x+150)
We multiply parentheses
(314x+11)-(12x-13)+2x+300
We get rid of parentheses
314x-12x+2x+11+13+300
We add all the numbers together, and all the variables
304x+324
Back to the equation:
-(304x+324)
-304x-324=0
We move all terms containing x to the left, all other terms to the right
-304x=324
x=324/-304
x=-1+5/76
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