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3/x+2=2/x-8
We move all terms to the left:
3/x+2-(2/x-8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-8)!=0We get rid of parentheses
x∈R
3/x-2/x+8+2=0
We multiply all the terms by the denominator
8*x+2*x+3-2=0
We add all the numbers together, and all the variables
10x+1=0
We move all terms containing x to the left, all other terms to the right
10x=-1
x=-1/10
x=-1/10
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