5/x-5=2/x+6

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Solution for 5/x-5=2/x+6 equation: 



5/x-5=2/x+6

We move all terms to the left:

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



Domain of the equation: x!=0

x∈R





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

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

-11x+3=0

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

-11x=-3

x=-3/-11

x=3/11

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