9/x+4=54/x-1

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Solution for 9/x+4=54/x-1 equation:



9/x+4=54/x-1
We move all terms to the left:
9/x+4-(54/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0
x∈R
We get rid of parentheses
9/x-54/x+1+4=0
We multiply all the terms by the denominator
1*x+4*x+9-54=0
We add all the numbers together, and all the variables
5x-45=0
We move all terms containing x to the left, all other terms to the right
5x=45
x=45/5
x=9

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