Let's solve the equation \(- (2x + 5) + 14 = 22\).

### Step 1: Distribute the negative sign.
\[
-2x - 5 + 14 = 22
\]

### Step 2: Combine like terms on the left side.
\[
-2x + 9 = 22
\]

### Step 3: Subtract 9 from both sides.
\[
-2x = 22 - 9
\]
\[
-2x = 13
\]

### Step 4: Divide both sides by \(-2\) to solve for \(x\).
\[
x = \frac{13}{-2}
\]
\[
x = -\frac{13}{2}
\]

So, the solution is:
\[
x = -\frac{13}{2} \text{ or } -6.5
\]

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

Here are 5 related questions you might be interested in:

1. How do you solve equations involving fractions?
2. What is the process for solving multi-step equations?
3. How can you check if the solution to an equation is correct?
4. What are the common mistakes to avoid when solving equations?
5. How do you solve equations with variables on both sides?

**Tip:** When solving equations, always remember to check your solution by substituting it back into the original equation.

Learn how to solve the equation -(2x + 5) + 14 = 22 with a step-by-step solution. This problem involves algebraic equations and application of the distributive property. Suitable for students in Grades 7-9.

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