To solve the inequality, you need to isolate/get the variable "x" by itself in the inequality:
2(4 + 2x) ≥ 5x + 5 Distribute/multiply 2 into (4 + 2x)
(2)4 + (2)2x ≥ 5x + 5
8 + 4x ≥ 5x + 5 Subtract 4x on both sides to get "x" on one side of the inequality
8 + 4x - 4x ≥ 5x - 4x + 5
8 ≥ x + 5 Subtract 5 on both sides to get "x" by itself
8 - 5 ≥ x + 5 - 5
3 ≥ x or x ≤ 3 [3 is greater than or equal to x, or x is less than or equal to 3]