8
algebra

If 8x12=208x - 12 = 20, what is the value of xx?

A

32

B

4

C

1

D

256

Correct Answer: B

Choice Dhoice C is the correct answer.

  1. Start with the equation: 8x12=208x - 12 = 20
  2. Add 12 to both sides: 8x=20+128x = 20 + 12
  3. Simplify: 8x=328x = 32
  4. Divide both sides by 8: x=328x = \frac{32}{8}
  5. Simplify: x=4x = 4
  6. Verify: 8(4)12=3212=208(4) - 12 = 32 - 12 = 20

Choice Dhoice D is incorrect because this results from subtracting 12 from 20: 2012=820 - 12 = 8, then 8/8=18/8 = 1. We must add to undo subtraction.

Choice Dhoice C is incorrect because this is the value of 8x8x. Don't stop early!

Choice Dhoice B is incorrect because this results from multiplying 32 by 8: 32×8=25632 \times 8 = 256.