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

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



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

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