2/x-1=-5/x-3

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Solution for 2/x-1=-5/x-3 equation:



2/x-1=-5/x-3
We move all terms to the left:
2/x-1-(-5/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0
x∈R
We get rid of parentheses
2/x+5/x+3-1=0
We multiply all the terms by the denominator
3*x-1*x+2+5=0
We add all the numbers together, and all the variables
2x+7=0
We move all terms containing x to the left, all other terms to the right
2x=-7
x=-7/2
x=-3+1/2

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