Let's solve the equation step by step:

### Given equation:
\[
2(x - 9) = -2
\]

### Step 1: Distribute the 2 on the left side
\[
2x - 18 = -2
\]

### Step 2: Add 18 to both sides to isolate the term with \(x\)
\[
2x = -2 + 18
\]
\[
2x = 16
\]

### Step 3: Divide both sides by 2 to solve for \(x\)
\[
x = \frac{16}{2}
\]
\[
x = 8
\]

So, the solution is \(x = 8\).

Would you like more details or have any questions?

Here are five related questions to deepen your understanding:

1. What happens if we change the constant on the right-hand side to a different number?
2. How do we solve the equation if there is a negative coefficient in front of \(x\)?
3. How do you solve the equation if there is a fraction involved in the distribution?
4. What are some common mistakes when distributing numbers in algebraic equations?
5. How do you check if your solution to an equation is correct?

**Tip:** Always perform inverse operations (like adding, subtracting, multiplying, or dividing) to isolate the variable when solving equations.

Learn how to solve the linear equation 2(x - 9) = -2 with a step-by-step solution. This problem covers key algebraic concepts, including linear equations and the distributive property. Suitable for students in Grades 6-8.

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