5/(x-3)+1/x=5/(x-3)

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Solution for 5/(x-3)+1/x=5/(x-3) equation:



5/(x-3)+1/x=5/(x-3)
We move all terms to the left:
5/(x-3)+1/x-(5/(x-3))=0
Domain of the equation: (x-3)!=0
We move all terms containing x to the left, all other terms to the right
x!=3
x∈R
Domain of the equation: x!=0
x∈R
Domain of the equation: (x-3))!=0
x∈R
We calculate fractions
(5x^2*()/((x-3)*x*(x-3)))+(1*(x-3)*(x-3)))/((x-3)*x*(x-3)))+(-(5*(x-3)*x)/((x-3)*x*(x-3)))=0
We calculate terms in parentheses: +(5x^2*()/((x-3)*x*(x-3))), so:
5x^2*()/((x-3)*x*(x-3))
We multiply all the terms by the denominator
5x^2*()
Back to the equation:
+(5x^2*())
We calculate terms in parentheses: +(1*(x-3)*(x-3)))/((x-3)*x*(x-3)))+(-(5*(x-3)*x)/((x-3)*x*(x-3))), so:
1*(x-3)*(x-3)))/((x-3)*x*(x-3)))+(-(5*(x-3)*x)/((x-3)*x*(x-3))
We add all the numbers together, and all the variables
1*(x-3)*(x-3)))/((x-3)*x*(x-3)))+(-(5*(x-3)*x)/((x-3)*x*(x
We multiply all the terms by the denominator
1*(x-3)*(x-3)))-3*x*x*((x-3))+(-(5*x*((x-3)*x)-3*x*x*((x
Wy multiply elements
-3x^3*x+1*(x-3)*(x-3)))-3*x*x*((x-3))+(-(5*x*((x-3)*x)
We do not support expression: x^3

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