2/3(x-6)=3/4(x-16)

Solution for 2/3(x-6)=3/4(x-16) equation:

2/3(x-6)=3/4(x-16)

We move all terms to the left:

2/3(x-6)-(3/4(x-16))=0


Domain of the equation: 3(x-6)!=0

x∈R



Domain of the equation: 4(x-16))!=0

x∈R


We calculate fractions


(8xx/(3(x-6)*4(x-16)))+(-9xx/(3(x-6)*4(x-16)))=0


We calculate terms in parentheses: +(8xx/(3(x-6)*4(x-16))), so:

8xx/(3(x-6)*4(x-16))

We multiply all the terms by the denominator


8xx

Back to the equation:

+(8xx)



We calculate terms in parentheses: +(-9xx/(3(x-6)*4(x-16))), so:

-9xx/(3(x-6)*4(x-16))

We multiply all the terms by the denominator


-9xx

Back to the equation:

+(-9xx)


We get rid of parentheses

8xx-9xx=0