4/x-5=6/x+2

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Solution for 4/x-5=6/x+2 equation: 



4/x-5=6/x+2

We move all terms to the left:

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



Domain of the equation: x!=0

x∈R





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

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


-2*x-5*x+4-6=0

We add all the numbers together, and all the variables

-7x-2=0

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

-7x=2

x=2/-7

x=-2/7

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