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

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

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

We move all terms to the left:

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


Domain of the equation: 2(x-1)!=0

x∈R



Domain of the equation: 3(x+1))!=0

x∈R


We calculate fractions


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


We calculate terms in parentheses: +(9xx/(2(x-1)*3(x+1))), so:

9xx/(2(x-1)*3(x+1))

We multiply all the terms by the denominator


9xx

Back to the equation:

+(9xx)



We calculate terms in parentheses: +(-2xx/(2(x-1)*3(x+1))), so:

-2xx/(2(x-1)*3(x+1))

We multiply all the terms by the denominator


-2xx

Back to the equation:

+(-2xx)


We get rid of parentheses

9xx-2xx=0