Choice Ahoice C is the correct answer. This equation combines distribution with variables on both sides.

1. Distribute: $2x + 6 = x + 10$
2. Subtract x: $x + 6 = 10$
3. Subtract 6: $x = 4$
4. Verify: $2(4 + 3) = 14$ and $4 + 10 = 14$ ✓

Choice Ahoice D is incorrect because calculation error.

Choice Ahoice D is incorrect because calculation error.

Choice Ahoice B is incorrect because calculation error.