6
algebra

If 6x12=366x - 12 = 36, what is the value of xx?

A

288

B

4

C

48

D

8

Correct Answer: D

Choice Choice A is the correct answer.

  1. Start with the equation: 6x12=366x - 12 = 36
  2. Add 12 to both sides: 6x=36+126x = 36 + 12
  3. Simplify: 6x=486x = 48
  4. Divide both sides by 6: x=486x = \frac{48}{6}
  5. Simplify: x=8x = 8
  6. Verify: 6(8)12=4812=366(8) - 12 = 48 - 12 = 36

Choice Choice B is incorrect because this results from subtracting 12 from 36: 2424, then 24/6=424/6 = 4. We must add to undo subtraction.

Choice Choice C is incorrect because this is the value of 6x6x. You must divide by 6.

Choice Choice A is incorrect because this results from multiplying 48 by 6: 288288.