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3x-10/3x+1+4x+28/3x^2+10x+3= x+1/x+3 I can't get the right answer of the rational equation. I don't really get it yet so I need help to understand this better

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3x-10/3x+1+4x+28/3x^2+10x+3= x+1/x+3

Collecting like terms and then simplifying:

7x+28/3x^2+13x-10/3x+1= x+1/x+3

Multiplying both sides by 3x+3 to eliminate fractions:

(7x+28)(3x+3)+13x-10(3x+3)= (x+1)(3x+3)

21x^2+84x+84+39x-30= 3x^2+4x+3

Combining like terms on both sides:

21x^2+123x-27= 3x^2+4x+3

18x^2+123x-30= 0

Subtracting 18x^2 from both sides:

123x-30= 0

Dividing both sides by 123:

x-30/123= 0

x= 30/123
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