Choice Dhoice C is the correct answer. This is a multi-step equation.

1. Start with the equation: $3(x - 5) + 4 = 19$
2. Subtract 4 from both sides: $3(x - 5) = 15$
3. Divide by 3: $x - 5 = 5$
4. Add 5 to both sides: $x = 10$
5. Verify: $3(10 - 5) + 4 = 3(5) + 4 = 15 + 4 = 19$ ✓

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice A is incorrect because this is the value of $x-5$.

Choice Dhoice D is incorrect because calculation error.