8

Set 10: Linear Equations

Explanation

Answer: B

If 2(x+5)−3(x−1)=102(x + 5) - 3(x - 1) = 10, what is the value of xx?

A.

7

B.

3

✓ Correct
C.

-3

D.

13

Detailed Explanation

Choice B is correct. Choice B is the correct answer. 1. Distribute: 2x+10−3x+3=102x + 10 - 3 x + 3 = 10 2. Combine: −x+13=10-x + 13 = 10 3. Subtract 13: −x=−3-x = -3 4. Divide by -1: x=3x = 3 5. Verify: 2(8)−3(2)=16−6=102(8) - 3(2) = 16 - 6 = 10 ✓ Choice C is incorrect because sign error. Choice D 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 3

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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