6/x+4=27/x-3

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Solution for 6/x+4=27/x-3 equation: 



6/x+4=27/x-3

We move all terms to the left:

6/x+4-(27/x-3)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-3)!=0

x∈R



We get rid of parentheses

6/x-27/x+3+4=0

We multiply all the terms by the denominator


3*x+4*x+6-27=0

We add all the numbers together, and all the variables

7x-21=0

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

7x=21

x=21/7

x=3

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