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Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x) ≥ 5x+5      (by PEDMAS, expand parentheses first)

4(2) + 2x(2) ≥ 5x + 5

8 + 4x ≥ 5x + 5   (subtract 8 from each side)

4x ≥ 5x + 5  - 8

4x ≥ 5x - 3    (subtract 5x from both sides)

4x -5x ≥ - 3

-x  ≥ - 3  (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)

x ≤ 3

Zebutic

Answer:

3 ≥ x

Step-by-step explanation:

2(4+2x)≥5x+5 | Given Expression

8 + 4x ≥ 5x + 5 | Distributive Property

^(multiply the terms on the inside of the parenthesis by 2)

8 ≥ 1x + 5 | Subtraction Property of Equality

^(subtract 4x from both sides)

3 ≥ x | Subtraction PoE

^(subtract 5 from both sides)

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