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