1/2(x-2)=1/3(x+9)

Solution for 1/2(x-2)=1/3(x+9) equation:

1/2(x-2)=1/3(x+9)

We move all terms to the left:

1/2(x-2)-(1/3(x+9))=0


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

x∈R



Domain of the equation: 3(x+9))!=0

x∈R


We calculate fractions


(3xx/(2(x-2)*3(x+9)))+(-2xx/(2(x-2)*3(x+9)))=0


We calculate terms in parentheses: +(3xx/(2(x-2)*3(x+9))), so:

3xx/(2(x-2)*3(x+9))

We multiply all the terms by the denominator


3xx

Back to the equation:

+(3xx)



We calculate terms in parentheses: +(-2xx/(2(x-2)*3(x+9))), so:

-2xx/(2(x-2)*3(x+9))

We multiply all the terms by the denominator


-2xx

Back to the equation:

+(-2xx)


We get rid of parentheses

3xx-2xx=0