1/2(x-2)=4/3(x+8)

Solution for 1/2(x-2)=4/3(x+8) equation:

1/2(x-2)=4/3(x+8)

We move all terms to the left:

1/2(x-2)-(4/3(x+8))=0


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

x∈R



Domain of the equation: 3(x+8))!=0

x∈R


We calculate fractions


(3xx/(2(x-2)*3(x+8)))+(-8xx/(2(x-2)*3(x+8)))=0


We calculate terms in parentheses: +(3xx/(2(x-2)*3(x+8))), so:

3xx/(2(x-2)*3(x+8))

We multiply all the terms by the denominator


3xx

Back to the equation:

+(3xx)



We calculate terms in parentheses: +(-8xx/(2(x-2)*3(x+8))), so:

-8xx/(2(x-2)*3(x+8))

We multiply all the terms by the denominator


-8xx

Back to the equation:

+(-8xx)


We get rid of parentheses

3xx-8xx=0