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2/3(15x+30)=1/3(102-12x)
We move all terms to the left:
2/3(15x+30)-(1/3(102-12x))=0
Domain of the equation: 3(15x+30)!=0
x∈R
Domain of the equation: 3(102-12x))!=0We add all the numbers together, and all the variables
x∈R
2/3(15x+30)-(1/3(-12x+102))=0
We calculate fractions
(6x(-)/(3(15x+30)*3(-12x+102)))+(-3x1/(3(15x+30)*3(-12x+102)))=0
We calculate terms in parentheses: +(6x(-)/(3(15x+30)*3(-12x+102))), so:
6x(-)/(3(15x+30)*3(-12x+102))
We add all the numbers together, and all the variables
6x0/(3(15x+30)*3(-12x+102))
We multiply all the terms by the denominator
6x0
We add all the numbers together, and all the variables
6x
Back to the equation:
+(6x)
We calculate terms in parentheses: +(-3x1/(3(15x+30)*3(-12x+102))), so:We get rid of parentheses
-3x1/(3(15x+30)*3(-12x+102))
We multiply all the terms by the denominator
-3x1
We add all the numbers together, and all the variables
-3x
Back to the equation:
+(-3x)
6x-3x=0
We add all the numbers together, and all the variables
3x=0
x=0/3
x=0
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