-x/4 - 6 > -8

Solve like an algebraic equation:

-x/4 - 6 > -8
add 6 to each side:
-x/4 - 6+6 > -8+6
-x/4 > -2
Multiply by 4:
-x > -8
add x+8
-x+x+8 > -8+x+8
8>x
x<8