3

Set 16: Linear Equations (Advanced)

Explanation

Answer: A

Solve: 5(x+2)=2x+195(x + 2) = 2x + 19

A.

3

✓ Correct
B.

6

C.

9

D.

1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Distribute: 5x+10=2x+195x + 10 = 2 x + 19 2. Subtract 2 x: 3x+10=193x + 10 = 19 3. Subtract 10: 3x=93x = 9 4. Divide by 3: x=3x = 3 5. Verify: 5(5)=255(5) = 25 and 6+19=256+ 19 = 25 ✓ Choice D is incorrect because it results from an error in the solution process. Choice B 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 3

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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