(5/x-6)=x/x-2

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Solution for (5/x-6)=x/x-2 equation: 



(5/x-6)=x/x-2

We move all terms to the left:

(5/x-6)-(x/x-2)=0



Domain of the equation: x-6)!=0

x∈R





Domain of the equation: x-2)!=0

x∈R



We get rid of parentheses

5/x-x/x-6+2=0

Fractions to decimals

5/x-6+2+1=0

We multiply all the terms by the denominator


-6*x+2*x+1*x+5=0

We add all the numbers together, and all the variables

-3x+5=0

We move all terms containing x to the left, all other terms to the right

-3x=-5

x=-5/-3

x=1+2/3

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