8

Set 13: Linear Equations (Intermediate)

Explanation

Answer: D

A number multiplied by 3 and increased by 5 is equal to the same number doubled and increased by 12. What is the number?

A.

10

B.

17

C.

3.5

D.

7

✓ Correct

Detailed Explanation

Choice D is correct. Choice Ahoice D is the correct answer. 1. Equation: 3x+5=2x+123x + 5 = 2 x + 12 2. Subtract 2 x: x+5=12x + 5 = 12 3. Subtract 5: x=7x = 7 4. Verify: 21+5=2621+ 5 = 26 and 14+12=2614+ 12 = 26 ✓ Choice Ahoice C 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 C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 7

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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