To solve the equation \([8x - 4] = 20\):

1. Start by removing the brackets, since they don't affect the operations:
   \[
   8x - 4 = 20
   \]

2. Add 4 to both sides to isolate the term with \(x\):
   \[
   8x = 24
   \]

3. Divide both sides by 8 to solve for \(x\):
   \[
   x = \frac{24}{8} = 3
   \]

So, the solution is \(x = 3\).

Would you like further details or have any questions?

Here are some related questions to explore:
1. What happens if the constant on the right side of the equation changes?
2. How would you solve if the equation was \( [8x + 4] = 20 \)?
3. What if the equation were an inequality, \( 8x - 4 \leq 20 \)?
4. How do you solve equations with variables on both sides, like \( 8x - 4 = 6x + 10 \)?
5. Can you solve \( [4x - 5] = 15 \)?

**Tip:** Always perform inverse operations to isolate the variable step by step.

Learn how to solve the linear equation 8x - 4 = 20 with a detailed step-by-step breakdown. This problem focuses on key algebraic concepts such as inverse operations and solving simple linear equations. Perfect for students in Grades 6-8.

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