Final answer:
To solve the inequality -3(-2x - 2) > 21 + 3x, distribute -3, simplify, and isolate x to find the solution x > 5.
Step-by-step explanation:
To solve the inequality -3(-2x - 2) > 21 + 3x, we can simplify the expression on both sides of the inequality and then solve for x. Let's start by distributing -3 to the terms inside the parentheses:
-3*(-2x) - 3*(-2) > 21 + 3x
6x + 6 > 21 + 3x
We can then subtract 3x from both sides of the inequality to get:
6x - 3x + 6 > 21
Simplifying further gives:
3x + 6 > 21
Next, we can subtract 6 from both sides of the inequality:
3x > 15
Finally, to isolate x, we divide both sides of the inequality by 3:
x > 5