2/x=(x-3)/(2x-11)

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Solution for 2/x=(x-3)/(2x-11) equation:



2/x=(x-3)/(2x-11)
We move all terms to the left:
2/x-((x-3)/(2x-11))=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (2x-11))!=0
x∈R
We calculate fractions
4x/(-9x^2)+(-((x-3)*x)/(-9x^2)=0
We calculate terms in parentheses: +(-((x-3)*x)/(-9x^2), so:
-((x-3)*x)/(-9x^2
We multiply all the terms by the denominator
-((x-3)*x)
We calculate terms in parentheses: -((x-3)*x), so:
(x-3)*x
We multiply parentheses
x^2-3x
Back to the equation:
-(x^2-3x)
We get rid of parentheses
-x^2+3x
We add all the numbers together, and all the variables
-1x^2+3x
Back to the equation:
+(-1x^2+3x)
We get rid of parentheses
4x/(-9x^2)-1x^2+3x=0
We multiply all the terms by the denominator
-1x^2*(-9x^2)+3x*(-9x^2)+4x=0
We multiply parentheses
-1x^2*(-9x^2)-27x^3+4x=0
We do not support expression: x^3

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