7

Set 3: Linear Equations (Advanced)

Explanation

Answer: B

If 2(4x+2)=202(4x + 2) = 20, what is the value of xx?

A.

4

B.

2

✓ Correct
C.

8

D.

1.5

Detailed Explanation

Choice B is correct. Choice Ahoice D is the correct answer. 1. Start with the equation: 2(4x+2)=202(4 x + 2) = 20 2. Distribute: 8x+4=208x + 4 = 20 3. Subtract 4: 8x=168x = 16 4. Divide by 8: x=2x = 2 5. Verify: 2(4(2)+2)=2(10)=202(4(2) + 2) = 2(10) = 20 ✓ Choice Ahoice B is incorrect because it results from an error in the solution process. Choice Ahoice D is incorrect because it results from an error in the solution process. Choice Ahoice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 2

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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