Hello, can someone tell me if I got the following solve and check work correct?

Question

1. solve and check 1/2x = 3 5/6

1/2x = 3 5/6
1/2x = 23/6
3x = 23/3

x = 23/3

And to check for it
1/2x = 3 5/6
1/2x = 23/6
46x = 6
x = 6/46

x = 3/23

2. Solve and check 3x + 2 / 2 = 7

3x + 2 / 2 = 7

3x + 2 = 14
3x = 14 - 2
3x = 12

x = 4

And to check for it
3(4) + 2)/2 = (12+2)/2 = 14/2 = 7= 7

Thank you in advance.