6/x-5=18/x+1

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Solution for 6/x-5=18/x+1 equation: 



6/x-5=18/x+1

We move all terms to the left:

6/x-5-(18/x+1)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x+1)!=0

x∈R



We get rid of parentheses

6/x-18/x-1-5=0

We multiply all the terms by the denominator


-1*x-5*x+6-18=0

We add all the numbers together, and all the variables

-6x-12=0

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

-6x=12

x=12/-6

x=-2

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