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

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

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

We move all terms to the left:

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


Domain of the equation: 3(x-2)!=0

x∈R



Domain of the equation: 2(x-3))!=0

x∈R


We calculate fractions


(4xx/(3(x-2)*2(x-3)))+(-3xx/(3(x-2)*2(x-3)))-1=0


We calculate terms in parentheses: +(4xx/(3(x-2)*2(x-3))), so:

4xx/(3(x-2)*2(x-3))

We multiply all the terms by the denominator


4xx

Back to the equation:

+(4xx)



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

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

We multiply all the terms by the denominator


-3xx

Back to the equation:

+(-3xx)


We get rid of parentheses

4xx-3xx-1=0

We move all terms containing x to the left, all other terms to the right

4xx-3xx=1