1
algebra

Solve: 23(x−5)=12(x+1)\frac{2}{3}(x - 5) = \frac{1}{2}(x + 1)

A

11

B

19

C

13

D

23

Correct Answer: D

Choice Choice C is the correct answer.

  1. Multiply by 6 (LCD): 4(x−5)=3(x+1)4(x - 5) = 3(x + 1)
  2. Distribute: 4x−20=3x+34x - 20 = 3x + 3
  3. Subtract 3x: x−20=3x - 20 = 3
  4. Add 20: x=23x = 23
  5. Verify: 2/3(18)=122/3(18)=12, 1/2(24)=121/2(24)=12 ✓

Choice Choice C is incorrect because calculation error.

Choice Choice B is incorrect because calculation error.

Choice Choice A is incorrect because calculation error.

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Linear Functions Set 40