3
algebra

Solve: 4(2x+1)=204(2x + 1) = 20

A

4

B

6

C

1.5

D

2

Correct Answer: D

Choice Bhoice C is the correct answer.

  1. Start with the equation: 4(2x+1)=204(2x + 1) = 20
  2. Distribute the 4: 8x+4=208x + 4 = 20
  3. Subtract 4 from both sides: 8x=2048x = 20 - 4
  4. Simplify: 8x=168x = 16
  5. Divide by 8: x=2x = 2
  6. Verify: 4(2(2)+1)=4(5)=204(2(2) + 1) = 4(5) = 20

Choice Bhoice C is incorrect because this results from forgetting to distribute to the 1: 8x+1=208x=192.48x + 1 = 20 \rightarrow 8x = 19 \approx 2.4? Or maybe 2x+1=52x=4x=22x+1=5 \rightarrow 2x=4 \rightarrow x=2. Wait, B is 4. Maybe 2x=82x=8?

Choice Bhoice A is incorrect because this results from calculation error.

Choice Bhoice D is incorrect because this results from adding.