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9/x-4=6/x+1
We move all terms to the left:
9/x-4-(6/x+1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+1)!=0We get rid of parentheses
x∈R
9/x-6/x-1-4=0
We multiply all the terms by the denominator
-1*x-4*x+9-6=0
We add all the numbers together, and all the variables
-5x+3=0
We move all terms containing x to the left, all other terms to the right
-5x=-3
x=-3/-5
x=3/5
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