We are given the equation:

\[
-5x - 35 = -5
\]

### Steps to solve for \( x \):

1. **Add 35 to both sides** to get rid of the constant term on the left:
   \[
   -5x - 35 + 35 = -5 + 35
   \]
   Simplifying:
   \[
   -5x = 30
   \]

2. **Divide both sides by -5** to isolate \( x \):
   \[
   \frac{-5x}{-5} = \frac{30}{-5}
   \]
   Simplifying:
   \[
   x = -6
   \]

### Final Answer: 
\[
x = -6
\]

Do you want more details or have any questions?

Here are 5 related questions for practice:
1. Solve \( 4x + 16 = 0 \).
2. Solve \( -3x - 21 = 9 \).
3. Solve \( 6x + 12 = 2x + 4 \).
4. Solve \( -7x - 35 = 0 \).
5. Solve \( 8x - 40 = 0 \).

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation −5x − 35 = −5 with a detailed step-by-step solution. This problem demonstrates how to handle basic algebraic operations, such as adding constants and dividing to isolate the variable x. Suitable for students in Grades 6-8.

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