-4/x+6=5/x-3

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Solution for -4/x+6=5/x-3 equation: 



-4/x+6=5/x-3

We move all terms to the left:

-4/x+6-(5/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

-4/x-5/x+3+6=0

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

9x-9=0

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

9x=9

x=9/9

x=1

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