7

Set 4: Linear Equations

Explanation

Answer: C

If 2(3x1)=4x+62(3x - 1) = 4x + 6, what is the value of xx?

A.

2

B.

8

C.

4

✓ Correct
D.

3.5

Detailed Explanation

Choice C is correct. Choice Ahoice C is the correct answer. 1. Distribute: 6x2=4x+66x - 2 = 4 x + 6 2. Subtract 4 x: 2x2=62x - 2 = 6 3. Add 2: 2x=82x = 8 4. Divide by 2: x=4x = 4 5. Verify: 2(11)=222(11) = 22 and 16+6=2216+ 6 = 22 ✓ Choice Ahoice B 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 D 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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