5
algebra

If 4x8=124x - 8 = 12, what is the value of xx?

A

1

B

80

C

20

D

5

Correct Answer: D

Choice Choice D is the correct answer. We add to undo subtraction, then divide.

  1. Start with the equation: 4x8=124x - 8 = 12
  2. Add 8 to both sides: 4x=12+84x = 12 + 8
  3. Simplify: 4x=204x = 20
  4. Divide both sides by 4: x=204x = \frac{20}{4}
  5. Simplify: x=5x = 5
  6. Verify: 4(5)8=208=124(5) - 8 = 20 - 8 = 12

Choice Choice A is incorrect because this results from subtracting 8 from 12: 128=412 - 8 = 4, then 4/4=14/4 = 1. We must add to undo subtraction.

Choice Choice C is incorrect because this is the value of 4x4x. The variable is not yet isolated.

Choice Choice B is incorrect because this results from multiplying 20 by 4: 20×4=8020 \times 4 = 80. We need to divide.