46/(x+5)=23/x

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Solution for 46/(x+5)=23/x equation:



46/(x+5)=23/x
We move all terms to the left:
46/(x+5)-(23/x)=0
Domain of the equation: (x+5)!=0
We move all terms containing x to the left, all other terms to the right
x!=-5
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
46/(x+5)-(+23/x)=0
We get rid of parentheses
46/(x+5)-23/x=0
We calculate fractions
46x/(x^2+5x)+(-23x-115)/(x^2+5x)=0
We multiply all the terms by the denominator
46x+(-23x-115)=0
We get rid of parentheses
46x-23x-115=0
We add all the numbers together, and all the variables
23x-115=0
We move all terms containing x to the left, all other terms to the right
23x=115
x=115/23
x=5

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