1/3(x+3)-4x=3/2(2x-7)

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Solution for 1/3(x+3)-4x=3/2(2x-7) equation:



1/3(x+3)-4x=3/2(2x-7)
We move all terms to the left:
1/3(x+3)-4x-(3/2(2x-7))=0
Domain of the equation: 3(x+3)!=0
x∈R
Domain of the equation: 2(2x-7))!=0
x∈R
We add all the numbers together, and all the variables
-4x+1/3(x+3)-(3/2(2x-7))=0
We calculate fractions
-4x+(2x2/(3(x+3)*2(2x-7)))+(-9xx/(3(x+3)*2(2x-7)))=0
We calculate terms in parentheses: +(2x2/(3(x+3)*2(2x-7))), so:
2x2/(3(x+3)*2(2x-7))
We multiply all the terms by the denominator
2x2
We add all the numbers together, and all the variables
2x^2
Back to the equation:
+(2x^2)
We calculate terms in parentheses: +(-9xx/(3(x+3)*2(2x-7))), so:
-9xx/(3(x+3)*2(2x-7))
We multiply all the terms by the denominator
-9xx
Back to the equation:
+(-9xx)
determiningTheFunctionDomain 2x^2-4x+(-9xx)=0
We get rid of parentheses
2x^2-4x-9xx=0

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