1/2(x-2)=3/1(x+5)

Solution for 1/2(x-2)=3/1(x+5) equation:

1/2(x-2)=3/1(x+5)

We move all terms to the left:

1/2(x-2)-(3/1(x+5))=0


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

x∈R



Domain of the equation: 1(x+5))!=0

x∈R


We calculate fractions


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


We calculate terms in parentheses: +(xx/(2(x-2)*1(x+5))), so:

xx/(2(x-2)*1(x+5))

We multiply all the terms by the denominator


xx

Back to the equation:

+(xx)



We calculate terms in parentheses: +(-6xx/(2(x-2)*1(x+5))), so:

-6xx/(2(x-2)*1(x+5))

We multiply all the terms by the denominator


-6xx

Back to the equation:

+(-6xx)


We get rid of parentheses

xx-6xx=0