Solve for x: -2x + 12 ≥ 18

-2x + 12 ≥ 18

Add 2x to both sides:
2x-2x + 12 ≥ 18 + 2x
12 ≥ 18 + 2x
2x + 18 ≤ 12
subtract 18:
2x + 18 - 18 ≤ 12 -18
2x ≤ -6
Divide by 2:
2x/2 ≤ -6/2
x ≤ -3