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

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

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

We move all terms to the left:

(1)/(6)(x-5)-((1)/(2)(x+6))=0


Domain of the equation: 6(x-5)!=0

x∈R



Domain of the equation: 2(x+6))!=0

x∈R


We calculate fractions


(2xx/(6(x-5)*2(x+6)))+(-6xx/(6(x-5)*2(x+6)))=0


We calculate terms in parentheses: +(2xx/(6(x-5)*2(x+6))), so:

2xx/(6(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/(6(x-5)*2(x+6))), so:

-6xx/(6(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