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(5/x)+7/(x-6)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
Domain of the equation: (x-6)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
x!=6
x∈R
(+5/x)+7/(x-6)=0
We get rid of parentheses
5/x+7/(x-6)=0
We calculate fractions
(5x-30)/(x^2-6x)+7x/(x^2-6x)=0
We multiply all the terms by the denominator
(5x-30)+7x=0
We add all the numbers together, and all the variables
7x+(5x-30)=0
We get rid of parentheses
7x+5x-30=0
We add all the numbers together, and all the variables
12x-30=0
We move all terms containing x to the left, all other terms to the right
12x=30
x=30/12
x=2+1/2
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