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5/x-3=35/x-9
We move all terms to the left:
5/x-3-(35/x-9)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-9)!=0We get rid of parentheses
x∈R
5/x-35/x+9-3=0
We multiply all the terms by the denominator
9*x-3*x+5-35=0
We add all the numbers together, and all the variables
6x-30=0
We move all terms containing x to the left, all other terms to the right
6x=30
x=30/6
x=5
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