Answer:
x = 10
Step-by-step explanation:
[tex] \frac{40}{55} = \frac{5x - 2}{6x + 6} \\ \\ \frac{8}{11} = \frac{5x - 2}{6x + 6} \\ \\ 8(6x + 6) = 11(5x - 2) \\ \\ 48x + 48 = 55x - 22 \\ \\ 48x - 55x = - 22 - 48 \\ \\ - 7x = - 70 \\ \\ x = \frac{ - 70}{ - 7} \\ \\ x = 10[/tex]
