Verified answer

[tex] \frac{2x + 5}{3x + 1} = \frac{3}{11} \\ \\ 11(2x + 5) = 3(3x + 1)[/tex]

[tex]22x + 55 = 9x + 3 \\ 22x - 9x = 3 - 55 \\ 13x = - 52 \\ \\ x = \frac{ - 52}{13} \\ \\ x = - 4[/tex]

Answer:

x = -4

Step-by-step explanation:

by cross multiplication

11(2x + 5) = 3(3x + 1)

22x + 55 = 9x + 3

13x = -52

x = -4