5/x-5=6+x/x-5

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



5/x-5=6+x/x-5

We move all terms to the left:

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



Domain of the equation: x!=0

x∈R





Domain of the equation: x-5)!=0

x∈R



We add all the numbers together, and all the variables

5/x-(x/x+1)-5=0

We get rid of parentheses

5/x-x/x-1-5=0

Fractions to decimals

5/x-1-5+1=0

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

-5x+5=0

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

-5x=-5

x=-5/-5

x=1

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