3/x-4=5/x+2

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Solution for 3/x-4=5/x+2 equation: 



3/x-4=5/x+2

We move all terms to the left:

3/x-4-(5/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

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

We multiply all the terms by the denominator


-2*x-4*x+3-5=0

We add all the numbers together, and all the variables

-6x-2=0

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

-6x=2

x=2/-6

x=-1/3

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