1
algebra

Solve for xx: 2(x+3)=142(x + 3) = 14

A

10

B

5

C

11

D

4

Correct Answer: D

Choice Ahoice D is the correct answer. This equation involves the distributive property.

  1. Start with the equation: 2(x+3)=142(x + 3) = 14
  2. Distribute the 2: 2x+6=142x + 6 = 14
  3. Subtract 6 from both sides: 2x=1462x = 14 - 6
  4. Simplify: 2x=82x = 8
  5. Divide by 2: x=4x = 4
  6. Verify: 2(4+3)=2(7)=142(4 + 3) = 2(7) = 14

💡 Alternative Method: You could also divide by 2 first: x+3=7x + 3 = 7, then x=4x = 4.

Choice Ahoice B is incorrect because this results from adding 3 to 14? Or maybe 2x=202x = 20? Common error.

Choice Ahoice D is incorrect because this results from distributing incorrectly as 2x+3=142x + 3 = 14, then 2x=112x = 11, x=5.5x=5.5? Or maybe 2x+6=162x+6=16?

Choice Ahoice C is incorrect because this results from subtracting 3 from 14: 1111.