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

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



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

We move all terms to the left:

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



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

x∈R





Domain of the equation: 5(x-3))!=0

x∈R



We calculate fractions


(10xx/(3(x-4)*5(x-3)))+(-9xx/(3(x-4)*5(x-3)))=0



We calculate terms in parentheses: +(10xx/(3(x-4)*5(x-3))), so:

10xx/(3(x-4)*5(x-3))

We multiply all the terms by the denominator


10xx

Back to the equation:

+(10xx)





We calculate terms in parentheses: +(-9xx/(3(x-4)*5(x-3))), so:

-9xx/(3(x-4)*5(x-3))

We multiply all the terms by the denominator


-9xx

Back to the equation:

+(-9xx)



We get rid of parentheses

10xx-9xx=0

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