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65/(3x+14)=13/2x
We move all terms to the left:
65/(3x+14)-(13/2x)=0
Domain of the equation: (3x+14)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-14
x!=-14/3
x!=-4+2/3
x∈R
Domain of the equation: 2x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
65/(3x+14)-(+13/2x)=0
We get rid of parentheses
65/(3x+14)-13/2x=0
We calculate fractions
130x/(6x^2+28x)+(-39x-182)/(6x^2+28x)=0
We multiply all the terms by the denominator
130x+(-39x-182)=0
We get rid of parentheses
130x-39x-182=0
We add all the numbers together, and all the variables
91x-182=0
We move all terms containing x to the left, all other terms to the right
91x=182
x=182/91
x=2
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