We are given the equation:

\[
-2(x - 14) + 5 = -6(x - 14) - 1
\]

Let's solve it step-by-step.

### Step 1: Distribute the coefficients

Distribute the \(-2\) and \(-6\) on both sides:

\[
-2x + 28 + 5 = -6x + 84 - 1
\]

### Step 2: Simplify both sides

Combine like terms on both sides:

\[
-2x + 33 = -6x + 83
\]

### Step 3: Move all \(x\) terms to one side

Add \(6x\) to both sides to bring the \(x\) terms together:

\[
4x + 33 = 83
\]

### Step 4: Isolate the \(x\) term

Subtract 33 from both sides:

\[
4x = 50
\]

### Step 5: Solve for \(x\)

Divide both sides by 4:

\[
x = \frac{50}{4} = 12.5
\]

### Final Answer

The solution is:

\[
x = 12.5
\]

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How do you solve equations involving distribution and combining like terms?
2. What is the importance of isolating the variable in algebraic equations?
3. How can you check if your solution to an equation is correct?
4. What are common mistakes to avoid when solving linear equations?
5. How do you handle equations with variables on both sides?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the equation -2(x - 14) + 5 = -6(x - 14) - 1 with a detailed step-by-step solution. This problem involves linear equations, the distributive property, and combining like terms. Suitable for students in Grades 7-9.

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