65/(2x+14)=13/(2x)

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Solution for 65/(2x+14)=13/(2x) equation:



65/(2x+14)=13/(2x)
We move all terms to the left:
65/(2x+14)-(13/(2x))=0
Domain of the equation: (2x+14)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-14
x!=-14/2
x!=-7
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
65/(2x+14)-(+13/2x)=0
We get rid of parentheses
65/(2x+14)-13/2x=0
We calculate fractions
130x/(4x^2+28x)+(-26x-182)/(4x^2+28x)=0
We multiply all the terms by the denominator
130x+(-26x-182)=0
We get rid of parentheses
130x-26x-182=0
We add all the numbers together, and all the variables
104x-182=0
We move all terms containing x to the left, all other terms to the right
104x=182
x=182/104
x=1+3/4

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