The value of x for the equation x + 7 = 15 is

Q: The value of x for the equation x + 7 = 15 is

To solve the equation $ x + 7 = 15 $, we need to find the value of $ x $ that makes the equation true. 1. **Explanation for Option 2 (Correct Answer):** - Start by isolating $ x $ on one side of the equation. To do this, subtract 7 from both sides of the equation: \[ x + 7 - 7 = 15 - 7 \] Simplifying both sides gives: \[ x = 8 \] - Therefore, the value of $ x $ that satisfies the equation is 8, which corresponds to Option 2. 2. **Explanation for why other options are incorrect:** - **Option 1 (7):** - If $ x = 7 $, substituting into the equation gives: \[ 7 + 7 = 14 \] - Since 14 is not equal to 15, Option 1 is incorrect. - **Option 3 (9):** - If $ x = 9 $, substituting into the equation gives: \[ 9 + 7 = 16 \] - Since 16 is not equal to 15, Option 3 is incorrect. - **Option 4 (10):** - If $ x = 10 $, substituting into the equation gives: \[ 10 + 7 = 17 \] - Since 17 is not equal to 15, Option 4 is incorrect. In conclusion, the only value of $ x $ that satisfies the equation $ x + 7 = 15 $ is 8, which is why Option 2 is the correct answer.

Question

Accepted Answer

To solve the equation $ x + 7 = 15 $, we need to find the value of $ x $ that makes the equation true.

1. **Explanation for Option 2 (Correct Answer):**
   - Start by isolating $ x $ on one side of the equation. To do this, subtract 7 from both sides of the equation:
     $$
     x + 7 - 7 = 15 - 7
     $$
     Simplifying both sides gives:
     $$
     x = 8
     $$
   - Therefore, the value of $ x $ that satisfies the equation is 8, which corresponds to Option 2.

2. **Explanation for why other options are incorrect:**

- **Option 1 (7):**
     - If $ x = 7 $, substituting into the equation gives:
       $$
       7 + 7 = 14
       $$
     - Since 14 is not equal to 15, Option 1 is incorrect.

- **Option 3 (9):**
     - If $ x = 9 $, substituting into the equation gives:
       $$
       9 + 7 = 16
       $$
     - Since 16 is not equal to 15, Option 3 is incorrect.

- **Option 4 (10):**
     - If $ x = 10 $, substituting into the equation gives:
       $$
       10 + 7 = 17
       $$
     - Since 17 is not equal to 15, Option 4 is incorrect.

In conclusion, the only value of $ x $ that satisfies the equation $ x + 7 = 15 $ is 8, which is why Option 2 is the correct answer.