We are given the equation:

\[
2(2x - 5) - 2x + 4 = -18
\]

### Step-by-step solution:

1. **Distribute** the \( 2 \) across the parentheses:

   \[
   2 \cdot (2x) - 2 \cdot 5 - 2x + 4 = -18
   \]
   This simplifies to:
   \[
   4x - 10 - 2x + 4 = -18
   \]

2. **Combine like terms** on the left side of the equation:

   \[
   (4x - 2x) + (-10 + 4) = -18
   \]
   Simplifying further:
   \[
   2x - 6 = -18
   \]

3. **Add 6** to both sides of the equation to isolate the term with \(x\):

   \[
   2x - 6 + 6 = -18 + 6
   \]
   \[
   2x = -12
   \]

4. **Divide by 2** to solve for \(x\):

   \[
   x = \frac{-12}{2}
   \]
   \[
   x = -6
   \]

### Final answer:

\[
x = -6
\]

Would you like more details on any of the steps or have any questions?

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Here are 5 related questions to deepen your understanding:

1. How do you solve equations with variables on both sides?
2. What is the distributive property, and how is it used in equations like this?
3. How do you combine like terms in an equation?
4. What happens if the variable \( x \) cancels out in an equation?
5. How can you check if your solution to an equation is correct?

**Tip**: When solving equations, always double-check your work by plugging your solution back into the original equation!

Learn how to solve the linear equation 2(2x - 5) - 2x + 4 = -18 with a detailed step-by-step solution. This problem covers essential algebraic concepts like the distributive property and combining like terms. Suitable for students in Grades 6-8.

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