Set 14: Linear Equations

Choice D is correct. Choice C is the correct answer. 1. Start with the equation: $4(2 x + 1) = 20$ 2. Distribute the 4: $8x + 4 = 20$ 3. Subtract 4 from both sides: $8x = 20 - 4$ 4. Simplify: $8x = 16$ 5. Divide by 8: $x = 2$ 6. Verify: $4(2(2) + 1) = 4(5) = 20$ ✓ Choice C is incorrect because this results from forgetting to distribute to the 1: $8x + 1 = 20 \rightarrow 8 x = 19 \approx 2.4$? Or maybe $2x+1=5 \rightarrow 2 x=4 \rightarrow x=2$. Choice A is incorrect because this results from calculation error. Choice D is incorrect because this results from adding.