Choice A is the correct answer. Distribution and combining like terms are essential for multi-step inequalities.

1. Distribute: $5x - 10 \geq 3x + 12$
2. Subtract 3x: $5x - 3x - 10 \geq 3x - 3x + 12$, giving $2x - 10 \geq 12$
3. Add 10: $2x \geq 22$
4. Divide by 2: $x \geq 11$

?�� Strategic Tip: Always distribute first before combining like terms in inequalities with parentheses.

Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it might result from errors in combining constants or coefficients. Choice D is incorrect because it combines both wrong value and wrong direction.