Which of the following equations has x = 3 as a solution?

Options

A. `3x + 2(x + 5) = 40`
B. `8x + 2(x - 2) = 35 - 3x`
C. `3x + 9 = 33`
D. none of these

Answer

To determine which equation has \( x = 3 \) as a solution, we will substitute \( x = 3 \) into each of the given equations and check if the left-hand side equals the right-hand side.

### Step-by-Step Solution:

1. **Identify the equations**: We need to check each option provided (let's assume the equations are labeled A, B, C, and D).

2. **Substituting into Option A**:
- Equation: \( 3x + 2x + 5 = 40 \)
- Left-hand side: \( 3(3) + 2(3) + 5 \)
- Calculation: \( 9 + 6 + 5 = 20 \)
- Right-hand side: \( 40 \)
- Conclusion: \( 20 \neq 40 \) (Not a solution)

3. **Substituting into Option B**:
- Equation: \( 8x + 2x - 2 = 35 - 3x \)
- Left-hand side: \( 8(3) + 2(3) - 2 \)
- Calculation: \( 24 + 6 - 2 = 28 \)
- Right-hand side: \( 35 - 3(3) = 35 - 9 = 26 \)
- Conclusion: \( 28 \neq 26 \) (Not a solution)

4. **Substituting into Option C**:
- Equation: \( 3x + 9 = 33 \)
- Left-hand side: \( 3(3) + 9 \)
- Calculation: \( 9 + 9 = 18 \)
- Right-hand side: \( 33 \)
- Conclusion: \( 18 \neq 33 \) (Not a solution)

5. **Substituting into Option D**:
- Equation: \( 4x + 5 = 3x + 10 \)
- Left-hand side: \( 4(3) + 5 \)
- Calculation: \( 12 + 5 = 17 \)
- Right-hand side: \( 3(3) + 10 = 9 + 10 = 19 \)
- Conclusion: \( 17 \neq 19 \) (Not a solution)

6. **Final Conclusion**:
- After checking all options, it appears that none of the equations provided in the options have \( x = 3 \) as a solution.