(7)/(x-8)=(3)/(x)

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Solution for (7)/(x-8)=(3)/(x) equation:



(7)/(x-8)=(3)/(x)
We move all terms to the left:
(7)/(x-8)-((3)/(x))=0
Domain of the equation: (x-8)!=0
We move all terms containing x to the left, all other terms to the right
x!=8
x∈R
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/(x-8)-(+3/x)=0
We get rid of parentheses
7/(x-8)-3/x=0
We calculate fractions
7x/(x^2-8x)+(-3x+24)/(x^2-8x)=0
We multiply all the terms by the denominator
7x+(-3x+24)=0
We get rid of parentheses
7x-3x+24=0
We add all the numbers together, and all the variables
4x+24=0
We move all terms containing x to the left, all other terms to the right
4x=-24
x=-24/4
x=-6

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