3/x+4=4/x-1

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Solution for 3/x+4=4/x-1 equation:



3/x+4=4/x-1
We move all terms to the left:
3/x+4-(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
3/x-4/x+1+4=0
We multiply all the terms by the denominator
1*x+4*x+3-4=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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