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

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



(X-3)/(2X)=(X-5)/X

We move all terms to the left:

(X-3)/(2X)-((X-5)/X)=0



Domain of the equation: 2X!=0

X!=0/2

X!=0

X∈R





Domain of the equation: X)!=0

X!=0/1

X!=0

X∈R



We calculate fractions


(X-3)*X)/2X^2+(-((X-5)*2X)/2X^2=0

We calculate fractions


((X-3)*X)*2X^2)/(2X^2+(*2X^2)+(-((X-5)*2X)*2X^2)/(2X^2+(*2X^2)=0



We calculate terms in parentheses: +(-((X-5)*2X)*2X^2)/(2X^2+(*2X^2), so:

-((X-5)*2X)*2X^2)/(2X^2+(*2X^2

We multiply all the terms by the denominator


-((X-5)*2X)*2X^2)+((*2X^2)*(2X^2

Back to the equation:

+(-((X-5)*2X)*2X^2)+((*2X^2)*(2X^2)



We get rid of parentheses

((X-3)*X)*2X^2)/(2X^2+*2X^2+(-((X-5)*2X)*2X^2)+((*2X^2)*2X^2=0

We multiply all the terms by the denominator


((X-3)*X)*2X^2)+(*2X^2)*(2X^2+((-((X-5)*2X)*2X^2))*(2X^2+(((*2X^2)*2X^2)*(2X^2=0

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