2x/x+6-3/x+6=3/2

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Solution for 2x/x+6-3/x+6=3/2 equation: 



2x/x+6-3/x+6=3/2

We move all terms to the left:

2x/x+6-3/x+6-(3/2)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

2x/x-3/x+6+6-(+3/2)=0

We add all the numbers together, and all the variables

2x/x-3/x+12-(+3/2)=0

We get rid of parentheses

2x/x-3/x+12-3/2=0

We calculate fractions


(2x-6)/2x+(-3x)/2x+12=0

We multiply all the terms by the denominator


(2x-6)+(-3x)+12*2x=0

Wy multiply elements

(2x-6)+(-3x)+24x=0

We get rid of parentheses

2x-3x+24x-6=0

We add all the numbers together, and all the variables

23x-6=0

We move all terms containing x to the left, all other terms to the right

23x=6

x=6/23

x=6/23

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