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