8
algebra

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

A

7

B

3

C

-3

D

13

Correct Answer: B

Choice Choice B is the correct answer.

  1. Distribute: 2x+10−3x+3=102x + 10 - 3x + 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 Choice C is incorrect because sign error.

Choice Choice D is incorrect because calculation error.

Choice Choice A is incorrect because calculation error.

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Linear Functions Set 13