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