4+2/3(x-1)=1/2(x+2)

Solution for 4+2/3(x-1)=1/2(x+2) equation:

4+2/3(x-1)=1/2(x+2)

We move all terms to the left:

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


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

x∈R



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

x∈R


We calculate fractions


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


We calculate terms in parentheses: +(4xx/(3(x-1)*2(x+2))), so:

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

We multiply all the terms by the denominator


4xx

Back to the equation:

+(4xx)



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

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

We multiply all the terms by the denominator


-3xx

Back to the equation:

+(-3xx)


We get rid of parentheses

4xx-3xx+4=0

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

4xx-3xx=-4