1
algebra

If x+12=17x + 12 = 17, what is the value of xx?

A

29

B

12

C

5

D

-5

Correct Answer: C

Choice Bhoice C is the correct answer. To solve this one-step linear equation, we need to isolate the variable xx using inverse operations.

  1. Start with the equation: x+12=17x + 12 = 17
  2. Identify the operation: The variable is currently being added to 12
  3. Apply the inverse operation: Subtract 12 from both sides to isolate xx
  4. Simplify: x=1712=5x = 17 - 12 = 5
  5. Verify the solution: Substitute x=5x = 5 back into the original equation: 5+12=175 + 12 = 17

💡 Strategic Tip: For equations in the form x+a=bx + a = b, always subtract aa from both sides. Addition and subtraction are inverse operations.

Choice Bhoice D is incorrect because this results from adding 12 to 17 instead of subtracting. The error is: 17+12=2917 + 12 = 29. Remember, we need to undo the addition.

Choice Bhoice D is incorrect because this uses the wrong sign. If you calculate 171217 - 12 but mistakenly write the answer as negative, you get 5-5. Always check the sign of your answer.

Choice Bhoice C is incorrect because this confuses the constant term (12) with the solution. The value 12 is what's being added to xx, not the value of xx itself.