1/3(x-9)=1/4(x+16)

Solution for 1/3(x-9)=1/4(x+16) equation:

1/3(x-9)=1/4(x+16)

We move all terms to the left:

1/3(x-9)-(1/4(x+16))=0


Domain of the equation: 3(x-9)!=0

x∈R



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

x∈R


We calculate fractions


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


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

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

We multiply all the terms by the denominator


4xx

Back to the equation:

+(4xx)



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

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

We multiply all the terms by the denominator


-3xx

Back to the equation:

+(-3xx)


We get rid of parentheses

4xx-3xx=0