7/(x-3)=3/x

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Solution for 7/(x-3)=3/x equation:



7/(x-3)=3/x
We move all terms to the left:
7/(x-3)-(3/x)=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!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/(x-3)-(+3/x)=0
We get rid of parentheses
7/(x-3)-3/x=0
We calculate fractions
7x/(x^2-3x)+(-3x+9)/(x^2-3x)=0
We multiply all the terms by the denominator
7x+(-3x+9)=0
We get rid of parentheses
7x-3x+9=0
We add all the numbers together, and all the variables
4x+9=0
We move all terms containing x to the left, all other terms to the right
4x=-9
x=-9/4
x=-2+1/4

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