1/2(12x+4)=1/3(15x-6)

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Solution for 1/2(12x+4)=1/3(15x-6) equation:



1/2(12x+4)=1/3(15x-6)
We move all terms to the left:
1/2(12x+4)-(1/3(15x-6))=0
Domain of the equation: 2(12x+4)!=0
x∈R
Domain of the equation: 3(15x-6))!=0
x∈R
We calculate fractions
(3x1/(2(12x+4)*3(15x-6)))+(-2x1/(2(12x+4)*3(15x-6)))=0
We calculate terms in parentheses: +(3x1/(2(12x+4)*3(15x-6))), so:
3x1/(2(12x+4)*3(15x-6))
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(12x+4)*3(15x-6))), so:
-2x1/(2(12x+4)*3(15x-6))
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)
We get rid of parentheses
3x-2x=0
We add all the numbers together, and all the variables
x=0

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