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2/x-4=11/x+5
We move all terms to the left:
2/x-4-(11/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
2/x-11/x-5-4=0
We multiply all the terms by the denominator
-5*x-4*x+2-11=0
We add all the numbers together, and all the variables
-9x-9=0
We move all terms containing x to the left, all other terms to the right
-9x=9
x=9/-9
x=-1
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