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2/x-1+4=14/x-1
We move all terms to the left:
2/x-1+4-(14/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We add all the numbers together, and all the variables
x∈R
2/x-(14/x-1)+3=0
We get rid of parentheses
2/x-14/x+1+3=0
We multiply all the terms by the denominator
1*x+3*x+2-14=0
We add all the numbers together, and all the variables
4x-12=0
We move all terms containing x to the left, all other terms to the right
4x=12
x=12/4
x=3
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