Let's solve the equation step by step:

\[
2(x + 4) + 2x - 1 = 19
\]

1. **Distribute** the \(2\) to the terms inside the parentheses:

\[
2x + 8 + 2x - 1 = 19
\]

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

\[
4x + 7 = 19
\]

3. **Subtract 7** from both sides to isolate the terms with \(x\):

\[
4x = 12
\]

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

\[
x = 3
\]

The solution is \(x = 3\).

Would you like more details on any of these steps, or do you have any other questions?

Here are some related questions you might find interesting:
1. How would you solve the equation \(3(x - 5) + 4x = 2x + 15\)?
2. What happens if you multiply both sides of the equation \(2x + 3 = 11\) by 2?
3. How do you solve equations with variables on both sides, like \(5x - 3 = 3x + 7\)?
4. How can you check if your solution to an equation is correct?
5. What is the difference between solving an equation and simplifying an expression?

**Tip:** Always double-check your solution by substituting the value back into the original equation. This helps confirm your answer is correct.

Learn how to solve the equation 2(x + 4) + 2x - 1 = 19 step-by-step with detailed explanations. This problem involves algebraic equations and the distributive property. Suitable for Grades 7-9.

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