Arrange the steps in correct order to solve the congruence

Last updated: 8/14/2022

Arrange the steps in correct order to solve the congruence 2x = 7 (mod 17) using the inverse of 2 modulo 17, which is 9. Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17). 9 is an inverse of 2 modulo 17. The given equation is 2x = 7 (mod 17). Since 63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.