Set 6: Linear Equations

Choice A is correct. Choice D is the correct answer. 1. Start with the equation: $2x + 8 = 20$ 2. Subtract 8 from both sides: $2x = 20 - 8$ 3. Simplify: $2x = 12$ 4. Divide both sides by 2: $x = \frac{12}{2}$ 5. Simplify: $x = 6$ 6. Verify: $2(6) + 8 = 12 + 8 = 20$ ✓ Choice B is incorrect because this results from adding 8 to 20: $28$, then $28 /2 = 14$. Wrong inverse operation. Choice C is incorrect because this is the value of $2x$. You need to divide by 2. Choice A is incorrect because this results from multiplying 12 by 2: $24$.