6/x+5=4/x-1

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



6/x+5=4/x-1
We move all terms to the left:
6/x+5-(4/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
6/x-4/x+1+5=0
We multiply all the terms by the denominator
1*x+5*x+6-4=0
We add all the numbers together, and all the variables
6x+2=0
We move all terms containing x to the left, all other terms to the right
6x=-2
x=-2/6
x=-1/3

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