2

Set 12: Linear Equations (Advanced)

Explanation

Answer: B

Solve: 4x+2x5=194x + 2x - 5 = 19

A.

8

B.

4

✓ Correct
C.

2.33

D.

12

Detailed Explanation

Choice B is correct. Choice D is the correct answer. 1. Start with the equation: 4x+2x5=194x + 2 x - 5 = 19 2. Combine like terms: 6x5=196x - 5 = 19 3. Add 5 to both sides: 6x=246x = 24 4. Divide by 6: x=4x = 4 5. Verify: 4(4)+2(4)5=16+85=194(4) + 2(4) - 5 = 16 + 8 - 5 = 19 ✓ Choice C is incorrect because this results from subtracting 5: 14/6=2.3314 /6 = 2.33. Choice C is incorrect because it results from an error in the solution process. Choice A 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.
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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