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4/x+5=6/x+9
We move all terms to the left:
4/x+5-(6/x+9)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+9)!=0We get rid of parentheses
x∈R
4/x-6/x-9+5=0
We multiply all the terms by the denominator
-9*x+5*x+4-6=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
-4x=2
x=2/-4
x=-1/2
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