Set 11: Linear Equations (Intermediate)

Choice D is correct. Choice D is the correct answer. 1. Start with the equation: $3x - 12 = 0$ 2. Add 12 to both sides: $3x = 0 + 12$ 3. Simplify: $3x = 12$ 4. Divide both sides by 3: $x = \frac{12}{3}$ 5. Simplify: $x = 4$ 6. Verify: $3(4) - 12 = 12 - 12 = 0$ ✓ Choice C is incorrect because this might result from thinking $3(-4) = -12$, but $-12 - 12 = -24$, not 0. Choice A is incorrect because this is the value of $3x$. You must divide by 3. Choice B is incorrect because this results from multiplying 12 by 3: $36$.