5

Set 8: Linear Equations (Advanced)

Explanation

Answer: B

If 4x+2=2x+124x + 2 = 2x + 12, what is the value of xx?

A.

2

B.

5

✓ Correct
C.

7

D.

10

Detailed Explanation

Choice B is correct. Choice B is the correct answer. 1. Subtract 2 x: 2x+2=122x + 2 = 12 2. Subtract 2: 2x=102x = 10 3. Divide by 2: x=5x = 5 4. Verify: 20+2=2220+ 2 = 22 and 10+12=2210+ 12 = 22 ✓ Choice D is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 5

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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