Answer :

AL2006
You said that

X/6 -18 = -22

Add 18 to each side :

X/6 = -4

Multiply each side by 6 :

X = -24

Tough one !
Question :
what integer divided by six, less eighteen, is negative twenty-two
Answer :
First we create a solution based on questions :
eg. integer is = a

so that :
[tex] \frac{a}{6} - 18 = -22[/tex]

[tex] \frac{a}{6} = -22 + 18[/tex]

[tex] \frac{a}{6} = -4[/tex]

[tex] a = 6 \times (- 4)[/tex]

[tex] a = -24[/tex]

so these integers is :  - 24