7/(2x-30)=2/x

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Solution for 7/(2x-30)=2/x equation:



7/(2x-30)=2/x
We move all terms to the left:
7/(2x-30)-(2/x)=0
Domain of the equation: (2x-30)!=0
We move all terms containing x to the left, all other terms to the right
2x!=30
x!=30/2
x!=15
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/(2x-30)-(+2/x)=0
We get rid of parentheses
7/(2x-30)-2/x=0
We calculate fractions
7x/(2x^2-30x)+(-4x+60)/(2x^2-30x)=0
We multiply all the terms by the denominator
7x+(-4x+60)=0
We get rid of parentheses
7x-4x+60=0
We add all the numbers together, and all the variables
3x+60=0
We move all terms containing x to the left, all other terms to the right
3x=-60
x=-60/3
x=-20

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