4
algebra

If 5(x+4)=405(x + 4) = 40, what is the value of xx?

A

8

B

36

C

12

D

4

Correct Answer: D

Choice Bhoice D is the correct answer.

  1. Start with the equation: 5(x+4)=405(x + 4) = 40
  2. Divide both sides by 5: x+4=8x + 4 = 8
  3. Subtract 4 from both sides: x=84x = 8 - 4
  4. Simplify: x=4x = 4
  5. Verify: 5(4+4)=5(8)=405(4 + 4) = 5(8) = 40

Choice Bhoice C is incorrect because this results from adding 4 to 8: 1212. Wrong inverse operation.

Choice Bhoice C is incorrect because this is the value of x+4x+4.

Choice Bhoice A is incorrect because this results from distributing incorrectly.