Set up the equation
[tex] - 4x - 18 = 22[/tex]
Then you want to het the x variable by itself, by elimating 18. So, you add 18 to both sides
[tex] - 4x = 40 [/tex]
Then to get x by itself you divide by -4 from both sides
[tex]x = - 10 [/tex]
You are correct.