To solve the equation \( (8 - 2x) - 4 = 6 \), follow these steps:

1. **Simplify the equation:**
   Distribute any constants and combine like terms.

   \[
   8 - 2x - 4 = 6
   \]

   Simplify further:

   \[
   4 - 2x = 6
   \]

2. **Isolate the variable:**
   To isolate the term with \( x \), subtract 4 from both sides of the equation:

   \[
   -2x = 6 - 4
   \]

   Simplify:

   \[
   -2x = 2
   \]

3. **Solve for \( x \):**
   Divide both sides of the equation by -2:

   \[
   x = \frac{2}{-2}
   \]

   Simplify:

   \[
   x = -1
   \]

So, the solution is \( x = -1 \).

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

### Related Questions:
1. What if the equation had a different constant on the right side?
2. How would the steps change if the coefficient of \( x \) was positive instead of negative?
3. How do you check if the solution \( x = -1 \) is correct?
4. What happens if you have an equation with more variables?
5. How can you solve similar equations graphically?

### Tip:
Always double-check your solution by substituting the value of \( x \) back into the original equation.

Learn how to solve the linear equation (8-2x)-4=6 with a detailed step-by-step solution. This problem focuses on basic algebraic concepts and is suitable for students in Grades 6-8.

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