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10/x-3=9/x-5
We move all terms to the left:
10/x-3-(9/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We get rid of parentheses
x∈R
10/x-9/x+5-3=0
We multiply all the terms by the denominator
5*x-3*x+10-9=0
We add all the numbers together, and all the variables
2x+1=0
We move all terms containing x to the left, all other terms to the right
2x=-1
x=-1/2
x=-1/2
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