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6/x-3=9-30/x
We move all terms to the left:
6/x-3-(9-30/x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
6/x-(-30/x+9)-3=0
We get rid of parentheses
6/x+30/x-9-3=0
We multiply all the terms by the denominator
-9*x-3*x+6+30=0
We add all the numbers together, and all the variables
-12x+36=0
We move all terms containing x to the left, all other terms to the right
-12x=-36
x=-36/-12
x=+3
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