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4/x-2=5/x
We move all terms to the left:
4/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
4/x-(+5/x)-2=0
We get rid of parentheses
4/x-5/x-2=0
We multiply all the terms by the denominator
-2*x+4-5=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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