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