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23/x-9=8/x+8
We move all terms to the left:
23/x-9-(8/x+8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+8)!=0We get rid of parentheses
x∈R
23/x-8/x-8-9=0
We multiply all the terms by the denominator
-8*x-9*x+23-8=0
We add all the numbers together, and all the variables
-17x+15=0
We move all terms containing x to the left, all other terms to the right
-17x=-15
x=-15/-17
x=15/17
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