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

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

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

We move all terms to the left:

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


Domain of the equation: 4(x-2)!=0

x∈R



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

x∈R


We calculate fractions


(6xx/(4(x-2)*2(x+1)))+(-4xx/(4(x-2)*2(x+1)))=0


We calculate terms in parentheses: +(6xx/(4(x-2)*2(x+1))), so:

6xx/(4(x-2)*2(x+1))

We multiply all the terms by the denominator


6xx

Back to the equation:

+(6xx)



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

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

We multiply all the terms by the denominator


-4xx

Back to the equation:

+(-4xx)


We get rid of parentheses

6xx-4xx=0