6
algebra

If 7x2x=307x - 2x = 30, what is the value of xx?

A

15

B

6

C

5

D

3.33

Correct Answer: B

Choice Dhoice A is the correct answer.

  1. Start with the equation: 7x2x=307x - 2x = 30
  2. Combine like terms: 5x=305x = 30
  3. Divide by 5: x=6x = 6
  4. Verify: 7(6)2(6)=4212=307(6) - 2(6) = 42 - 12 = 30

Choice Dhoice C is incorrect because this results from dividing by 2: 30/2=1530/2 = 15.

Choice Dhoice C is incorrect because this results from dividing by 9 (adding terms instead of subtracting): 30/93.3330/9 \approx 3.33.

Choice Dhoice D is incorrect because this results from calculation error.