The problem in the image is asking for the solution to the equation:

$2x + 6 = 0$

To solve for $x$:

1. Subtract 6 from both sides:

$2x = -6$

2. Divide both sides by 2:

$x = \frac{-6}{2} = -3$

Thus, the value of $x$ is $-3$, so the correct answer is option b.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

1. How do you solve linear equations with more complex terms?
2. What are some common methods for checking if an equation solution is correct?
3. How can you apply the solution of linear equations to real-world problems?
4. What are the different forms of linear equations?
5. How can equations with fractions be solved?

Tip: Always check your solution by substituting it back into the original equation.