Solve: (3x + 1) / (x + 5) = (6x - 7) / (2x + 1)

Solution:

(3x + 1) / (x + 5) = (6x - 7) / (2x + 1)

=> (3x + 1) (2x + 1) = (6x - 7) (x + 5) [cross-multiplying]

=> 6 x^{2} + 3 x + 2 x + 1 = 6 x^{2} + 30 x - 7 x - 35

=> x = 2