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1/4(x+2)=1/6(5-x)
We move all terms to the left:
1/4(x+2)-(1/6(5-x))=0
Domain of the equation: 4(x+2)!=0
x∈R
Domain of the equation: 6(5-x))!=0We add all the numbers together, and all the variables
x∈R
1/4(x+2)-(1/6(-1x+5))=0
We calculate fractions
(6x(-)/(4(x+2)*6(-1x+5)))+(-4xx/(4(x+2)*6(-1x+5)))=0
We calculate terms in parentheses: +(6x(-)/(4(x+2)*6(-1x+5))), so:
6x(-)/(4(x+2)*6(-1x+5))
We add all the numbers together, and all the variables
6x0/(4(x+2)*6(-1x+5))
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: +(-4xx/(4(x+2)*6(-1x+5))), so:We get rid of parentheses
-4xx/(4(x+2)*6(-1x+5))
We multiply all the terms by the denominator
-4xx
Back to the equation:
+(-4xx)
6x-4xx=0
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