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

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



1/2(x+4)=-2/3(-x-6)
We move all terms to the left:
1/2(x+4)-(-2/3(-x-6))=0
Domain of the equation: 2(x+4)!=0
x∈R
Domain of the equation: 3(-x-6))!=0
x∈R
We add all the numbers together, and all the variables
1/2(x+4)-(-2/3(-1x-6))=0
We calculate fractions
(3x(-)/(2(x+4)*3(-1x-6)))+(-(-4xx)/(2(x+4)*3(-1x-6)))=0
We calculate terms in parentheses: +(3x(-)/(2(x+4)*3(-1x-6))), so:
3x(-)/(2(x+4)*3(-1x-6))
We add all the numbers together, and all the variables
3x0/(2(x+4)*3(-1x-6))
We multiply all the terms by the denominator
3x0
We add all the numbers together, and all the variables
3x
Back to the equation:
+(3x)
We calculate terms in parentheses: +(-(-4xx)/(2(x+4)*3(-1x-6))), so:
-(-4xx)/(2(x+4)*3(-1x-6))
We multiply all the terms by the denominator
-(-4xx)
We get rid of parentheses
4xx
Back to the equation:
+(4xx)

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