3/x=2/(x-6)

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Solution for 3/x=2/(x-6) equation:



3/x=2/(x-6)
We move all terms to the left:
3/x-(2/(x-6))=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (x-6))!=0
x∈R
We calculate fractions
3x/(-5x^2)+(-(2*x)/(-5x^2)=0
We calculate terms in parentheses: +(-(2*x)/(-5x^2), so:
-(2*x)/(-5x^2
We add all the numbers together, and all the variables
-(+2x)/(-5x^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
3x/(-5x^2)-2x=0
We multiply all the terms by the denominator
-2x*(-5x^2)+3x=0
We multiply parentheses
10x^3+3x=0
We do not support expression: x^3

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