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4/n+9=5/n+12
We move all terms to the left:
4/n+9-(5/n+12)=0
Domain of the equation: n!=0
n∈R
Domain of the equation: n+12)!=0We get rid of parentheses
n∈R
4/n-5/n-12+9=0
We multiply all the terms by the denominator
-12*n+9*n+4-5=0
We add all the numbers together, and all the variables
-3n-1=0
We move all terms containing n to the left, all other terms to the right
-3n=1
n=1/-3
n=-1/3
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