8
algebra

If 2(3x+1)4=102(3x + 1) - 4 = 10, what is the value of xx?

A

1

B

4

C

3

D

2

Correct Answer: D

Choice Bhoice A is the correct answer.

  1. Start with the equation: 2(3x+1)4=102(3x + 1) - 4 = 10
  2. Add 4 to both sides: 2(3x+1)=142(3x + 1) = 14
  3. Divide by 2: 3x+1=73x + 1 = 7
  4. Subtract 1: 3x=63x = 6
  5. Divide by 3: x=2x = 2
  6. Verify: 2(3(2)+1)4=2(7)4=144=102(3(2) + 1) - 4 = 2(7) - 4 = 14 - 4 = 10

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.