Set 2: Linear Equations

Choice D is correct. Choice Ahoice D is the correct answer. This equation involves the distributive property. 1. Start with the equation: $2(x + 3) = 14$ 2. Distribute the 2: $2x + 6 = 14$ 3. Subtract 6 from both sides: $2x = 14 - 6$ 4. Simplify: $2x = 8$ 5. Divide by 2: $x = 4$ 6. Verify: $2(4 + 3) = 2(7) = 14$ ✓ Alternative Method: You could also divide by 2 first: $x + 3 = 7$, then $x = 4$. Choice Ahoice B is incorrect because this results from adding 3 to 14? Or maybe $2x = 20$? Common error. Choice Ahoice D is incorrect because this results from distributing incorrectly as $2x + 3 = 14$, then $2x = 11$, $x=5.5$? Or maybe $2x+6=16$? Choice Ahoice C is incorrect because this results from subtracting 3 from 14: $11$.