5/x=2/(x-3)

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



5/x=2/(x-3)
We move all terms to the left:
5/x-(2/(x-3))=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (x-3))!=0
x∈R
We calculate fractions
5x/(-2x^2)+(-(2*x)/(-2x^2)=0
We calculate terms in parentheses: +(-(2*x)/(-2x^2), so:
-(2*x)/(-2x^2
We add all the numbers together, and all the variables
-(+2x)/(-2x^2
We multiply all the terms by the denominator
-(+2x)
We get rid of parentheses
-2x
Back to the equation:
+(-2x)
We get rid of parentheses
5x/(-2x^2)-2x=0
We multiply all the terms by the denominator
-2x*(-2x^2)+5x=0
We multiply parentheses
4x^3+5x=0
We do not support expression: x^3

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