3/x+1=2/x-1+7

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Solution for 3/x+1=2/x-1+7 equation:



3/x+1=2/x-1+7
We move all terms to the left:
3/x+1-(2/x-1+7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1+7)!=0
We move all terms containing x to the left, all other terms to the right
x+7)!=1
x∈R
We add all the numbers together, and all the variables
3/x-(2/x+6)+1=0
We get rid of parentheses
3/x-2/x-6+1=0
We multiply all the terms by the denominator
-6*x+1*x+3-2=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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