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9/x+10=4/x+5
We move all terms to the left:
9/x+10-(4/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
9/x-4/x-5+10=0
We multiply all the terms by the denominator
-5*x+10*x+9-4=0
We add all the numbers together, and all the variables
5x+5=0
We move all terms containing x to the left, all other terms to the right
5x=-5
x=-5/5
x=-1
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