1

Set 9: Linear Equations (Intermediate)

Explanation

Answer: A

If 2(x+3)=x+82(x + 3) = x + 8, what is the value of xx?

A.

2

✓ Correct
B.

5

C.

11

D.

1

Detailed Explanation

Choice A is correct. Choice Ahoice C is the correct answer. 1. Distribute: 2x+6=x+82x + 6 = x + 8 2. Subtract x: x+6=8x + 6 = 8 3. Subtract 6: x=2x = 2 4. Verify: 2(5)=102(5) = 10 and 2+8=102+ 8 = 10 ✓ Choice Ahoice D is incorrect because it results from an error in the solution process. Choice Ahoice B 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:
B: Choice B 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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