(4+x)/x=14/6

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Solution for (4+x)/x=14/6 equation:



(4+x)/x=14/6
We move all terms to the left:
(4+x)/x-(14/6)=0
Domain of the equation: x!=0
x∈R
We add all the numbers together, and all the variables
(x+4)/x-(+14/6)=0
We get rid of parentheses
(x+4)/x-14/6=0
We calculate fractions
(6x+24)/6x+(-14x)/6x=0
We multiply all the terms by the denominator
(6x+24)+(-14x)=0
We get rid of parentheses
6x-14x+24=0
We add all the numbers together, and all the variables
-8x+24=0
We move all terms containing x to the left, all other terms to the right
-8x=-24
x=-24/-8
x=+3

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