2
algebra

If 3(x2)=153(x - 2) = 15, what is the value of xx?

A

9

B

3

C

7

D

5

Correct Answer: C

Choice Ahoice D is the correct answer.

  1. Start with the equation: 3(x2)=153(x - 2) = 15
  2. Distribute the 3: 3x6=153x - 6 = 15
  3. Add 6 to both sides: 3x=15+63x = 15 + 6
  4. Simplify: 3x=213x = 21
  5. Divide by 3: x=7x = 7
  6. Verify: 3(72)=3(5)=153(7 - 2) = 3(5) = 15

Choice Ahoice B is incorrect because this results from subtracting 2 from 5 (if divided first): 52=35-2=3. But it's x2=5x-2=5, so x=7x=7.

Choice Ahoice C is incorrect because this is the value of x2x-2 (if you divide 15 by 3).

Choice Ahoice C is incorrect because this results from adding 2 to 15? No, maybe 3x=273x = 27?