2+1/3(2x+1)=5-2/9(x+2)

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Solution for 2+1/3(2x+1)=5-2/9(x+2) equation:



2+1/3(2x+1)=5-2/9(x+2)
We move all terms to the left:
2+1/3(2x+1)-(5-2/9(x+2))=0
Domain of the equation: 3(2x+1)!=0
x∈R
Domain of the equation: 9(x+2))!=0
x∈R
We calculate fractions
(9xx/(3(2x+1)*9(x+2)))+(-(-6x2)/(3(2x+1)*9(x+2)))+2=0
We calculate terms in parentheses: +(9xx/(3(2x+1)*9(x+2))), so:
9xx/(3(2x+1)*9(x+2))
We multiply all the terms by the denominator
9xx
Back to the equation:
+(9xx)
We calculate terms in parentheses: +(-(-6x2)/(3(2x+1)*9(x+2))), so:
-(-6x2)/(3(2x+1)*9(x+2))
We add all the numbers together, and all the variables
-(-6x^2)/(3(2x+1)*9(x+2))
We multiply all the terms by the denominator
-(-6x^2)
We get rid of parentheses
6x^2
Back to the equation:
+(6x^2)
determiningTheFunctionDomain 6x^2+9xx+2=0
We move all terms containing x to the left, all other terms to the right
6x^2+9xx=-2

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