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