6/x+1=5/x-4

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Solution for 6/x+1=5/x-4 equation:



6/x+1=5/x-4
We move all terms to the left:
6/x+1-(5/x-4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-4)!=0
x∈R
We get rid of parentheses
6/x-5/x+4+1=0
We multiply all the terms by the denominator
4*x+1*x+6-5=0
We add all the numbers together, and all the variables
5x+1=0
We move all terms containing x to the left, all other terms to the right
5x=-1
x=-1/5
x=-1/5

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