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