2
algebra

If 3x7=143x - 7 = 14, what is the value of xx?

A

21

B

7

C

63

D

2.33

Correct Answer: B

Choice Choice B is the correct answer. We isolate the variable term first by adding 7.

  1. Start with the equation: 3x7=143x - 7 = 14
  2. Add 7 to both sides: 3x=14+73x = 14 + 7
  3. Simplify: 3x=213x = 21
  4. Divide both sides by 3: x=213x = \frac{21}{3}
  5. Simplify: x=7x = 7
  6. Verify: 3(7)7=217=143(7) - 7 = 21 - 7 = 14

💡 Key Step: Always isolate the term with the variable (here, 3x3x) before trying to isolate the variable itself (xx).

Choice Choice D is incorrect because this results from subtracting 7 from 14: 147=714 - 7 = 7, then 7/32.337/3 \approx 2.33. We must add to undo subtraction.

Choice Choice B is incorrect because this is the value of 3x3x, not xx. Students often stop halfway through the problem.

Choice Choice C is incorrect because this results from multiplying 21 by 3 instead of dividing: 21×3=6321 \times 3 = 63.