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1/2(10x+12)=1/3(12x+15)
We move all terms to the left:
1/2(10x+12)-(1/3(12x+15))=0
Domain of the equation: 2(10x+12)!=0
x∈R
Domain of the equation: 3(12x+15))!=0We calculate fractions
x∈R
(3x1/(2(10x+12)*3(12x+15)))+(-2x1/(2(10x+12)*3(12x+15)))=0
We calculate terms in parentheses: +(3x1/(2(10x+12)*3(12x+15))), so:
3x1/(2(10x+12)*3(12x+15))
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)
We calculate terms in parentheses: +(-2x1/(2(10x+12)*3(12x+15))), so:We get rid of parentheses
-2x1/(2(10x+12)*3(12x+15))
We multiply all the terms by the denominator
-2x1
We add all the numbers together, and all the variables
-2x
Back to the equation:
+(-2x)
3x-2x=0
We add all the numbers together, and all the variables
x=0
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