Answer:
x = 2/3
Step-by-step explanation:
Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:
[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])
Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:
[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]
