5/x+1=6/x-4

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



5/x+1=6/x-4
We move all terms to the left:
5/x+1-(6/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
5/x-6/x+4+1=0
We multiply all the terms by the denominator
4*x+1*x+5-6=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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