3

Set 11: Linear Equations

Explanation

Answer: D

Solve: 4(x+1)=2x+144(x + 1) = 2x + 14

A.

9

B.

3

C.

6

D.

5

✓ Correct

Detailed Explanation

Choice D is correct. Choice A is the correct answer. 1. Distribute: 4x+4=2x+144x + 4 = 2 x + 14 2. Subtract 2 x: 2x+4=142x + 4 = 14 3. Subtract 4: 2x=102x = 10 4. Divide by 2: x=5x = 5 5. Verify: 4(6)=244(6) = 24 and 10+14=2410+ 14 = 24 ✓ Choice D 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. Choice D 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.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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