6

Set 14: Linear Equations (Intermediate)

Explanation

Answer: C

Solve: 4(x+2)=2x+164(x + 2) = 2x + 16

A.

6

B.

2

C.

4

✓ Correct
D.

8

Detailed Explanation

Choice C is correct. Choice Ahoice C is the correct answer. 1. Distribute: 4x+8=2x+164x + 8 = 2 x + 16 2. Subtract 2 x: 2x+8=162x + 8 = 16 3. Subtract 8: 2x=82x = 8 4. Divide by 2: x=4x = 4 5. Verify: 4(6)=244(6) = 24 and 8+16=248+ 16 = 24 ✓ Choice Ahoice D 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 4

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