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9/x=25/x-5
We move all terms to the left:
9/x-(25/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We get rid of parentheses
x∈R
9/x-25/x+5=0
We multiply all the terms by the denominator
5*x+9-25=0
We add all the numbers together, and all the variables
5x-16=0
We move all terms containing x to the left, all other terms to the right
5x=16
x=16/5
x=3+1/5
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