1/x+2=3/x-7

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



1/x+2=3/x-7
We move all terms to the left:
1/x+2-(3/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0
x∈R
We get rid of parentheses
1/x-3/x+7+2=0
We multiply all the terms by the denominator
7*x+2*x+1-3=0
We add all the numbers together, and all the variables
9x-2=0
We move all terms containing x to the left, all other terms to the right
9x=2
x=2/9
x=2/9

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