To solve the equation \(-5x - (2x - 8) = -x - 6\), we will first simplify both sides by distributing and combining like terms.

### Step 1: Distribute the negative sign on the left side.
\[
-5x - 2x + 8 = -x - 6
\]

### Step 2: Combine like terms.
\[
-7x + 8 = -x - 6
\]

### Step 3: Add \(7x\) to both sides to get all \(x\) terms on one side.
\[
8 = 6x - 6
\]

### Step 4: Add 6 to both sides to isolate the \(x\) term.
\[
14 = 6x
\]

### Step 5: Divide both sides by 6 to solve for \(x\).
\[
x = \frac{14}{6} = \frac{7}{3}
\]

So, the solution is \(x = \frac{7}{3}\).

Would you like any further details or have any questions?

Here are some related questions:
1. How would you solve an equation if it involves fractions?
2. What are the steps to solve a quadratic equation?
3. How do you solve systems of equations?
4. What is the difference between linear and quadratic equations?
5. How do you check if your solution to an equation is correct?

**Tip:** Always double-check your solution by substituting the value back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation -5x - (2x - 8) = -x - 6 step-by-step with a detailed solution. This problem involves applying the distributive property and combining like terms. Suitable for students in Grades 7-9.

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