1

Set 11: Linear Equations

Explanation

Answer: D

If 12−3(x−2)=612- 3(x - 2) = 6, what is the value of xx?

A.

0

B.

6

C.

2

D.

4

✓ Correct

Detailed Explanation

Choice D is correct. Choice A is the correct answer. 1. Subtract 12: −3(x−2)=−6-3(x - 2) = -6 2. Divide by -3: x−2=2x - 2 = 2 3. Add 2: x=4x = 4 4. Verify: 12−3(2)=612- 3(2) = 6 ✓ Choice B 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. Choice 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.
C: Choice C is incorrect and may result from a calculation error.
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