5/3(x-4)=3/4(x+2)

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Solution for 5/3(x-4)=3/4(x+2) equation: 



5/3(x-4)=3/4(x+2)

We move all terms to the left:

5/3(x-4)-(3/4(x+2))=0



Domain of the equation: 3(x-4)!=0

x∈R





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

x∈R



We calculate fractions


(20xx/(3(x-4)*4(x+2)))+(-9xx/(3(x-4)*4(x+2)))=0



We calculate terms in parentheses: +(20xx/(3(x-4)*4(x+2))), so:

20xx/(3(x-4)*4(x+2))

We multiply all the terms by the denominator


20xx

Back to the equation:

+(20xx)





We calculate terms in parentheses: +(-9xx/(3(x-4)*4(x+2))), so:

-9xx/(3(x-4)*4(x+2))

We multiply all the terms by the denominator


-9xx

Back to the equation:

+(-9xx)



We get rid of parentheses

20xx-9xx=0

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