Choice A is the correct answer. Distribution and multi-step solving are combined in this problem.

1. Distribute: $2(3x) - 2(4) \geq 5x + 2$, giving $6x - 8 \geq 5x + 2$
2. Subtract 5x: $6x - 5x - 8 \geq 5x - 5x + 2$, giving $x - 8 \geq 2$
3. Add 8: $x \geq 10$

?�� Strategic Tip: When distributing with parentheses, multiply the coefficient by EVERY term inside.

Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it uses -10 instead of 10, possibly from a sign error. Choice D is incorrect because it combines both wrong sign and wrong direction.