1
algebra

If 2x+6=182x + 6 = 18, what is the value of xx?

A

12

B

6

C

24

D

12

Correct Answer: B

Choice Bhoice D is the correct answer.

  1. Start with the equation: 2x+6=182x + 6 = 18
  2. Subtract 6 from both sides: 2x=1862x = 18 - 6
  3. Simplify: 2x=122x = 12
  4. Divide both sides by 2: x=122x = \frac{12}{2}
  5. Simplify: x=6x = 6
  6. Verify: 2(6)+6=12+6=182(6) + 6 = 12 + 6 = 18

Choice Bhoice C is incorrect because this results from adding 6 to 18: 2424, then 24/2=1224/2 = 12. Wrong inverse operation.

Choice Bhoice C is incorrect because this is the value of 2x2x. You need to divide by 2.

Choice Bhoice A is incorrect because this results from multiplying 12 by 2: 2424.