6/x-1=-3/x-7

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Solution for 6/x-1=-3/x-7 equation:



6/x-1=-3/x-7
We move all terms to the left:
6/x-1-(-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
6/x+3/x+7-1=0
We multiply all the terms by the denominator
7*x-1*x+6+3=0
We add all the numbers together, and all the variables
6x+9=0
We move all terms containing x to the left, all other terms to the right
6x=-9
x=-9/6
x=-1+1/2

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