1/6x(x-5)=1/2(x+6)

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Solution for 1/6x(x-5)=1/2(x+6) equation:



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

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