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8/x=5/x-2
We move all terms to the left:
8/x-(5/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0We get rid of parentheses
x∈R
8/x-5/x+2=0
We multiply all the terms by the denominator
2*x+8-5=0
We add all the numbers together, and all the variables
2x+3=0
We move all terms containing x to the left, all other terms to the right
2x=-3
x=-3/2
x=-1+1/2
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