# 16/(x-3)=10/x

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## Solution for 16/(x-3)=10/x equation:

16/(x-3)=10/x
We move all terms to the left:
16/(x-3)-(10/x)=0

Domain of the equation: (x-3)!=0
We move all terms containing x to the left, all other terms to the right
x!=3
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
16/(x-3)-(+10/x)=0
We get rid of parentheses
16/(x-3)-10/x=0
We calculate fractions

16x/(x^2-3x)+(-10x+30)/(x^2-3x)=0
We multiply all the terms by the denominator

16x+(-10x+30)=0
We get rid of parentheses
16x-10x+30=0
We add all the numbers together, and all the variables
6x+30=0
We move all terms containing x to the left, all other terms to the right
6x=-30
x=-30/6
x=-5

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