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2/x+8=3/x-9
We move all terms to the left:
2/x+8-(3/x-9)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-9)!=0We get rid of parentheses
x∈R
2/x-3/x+9+8=0
We multiply all the terms by the denominator
9*x+8*x+2-3=0
We add all the numbers together, and all the variables
17x-1=0
We move all terms containing x to the left, all other terms to the right
17x=1
x=1/17
x=1/17
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