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

1. **Subtract \(4x\) from both sides** to get all the terms involving \(x\) on one side:
   \[
   8x - 4x - 4 = 6
   \]
   Simplify:
   \[
   4x - 4 = 6
   \]

2. **Add 4 to both sides** to isolate the term with \(x\):
   \[
   4x = 6 + 4
   \]
   Simplify:
   \[
   4x = 10
   \]

3. **Divide both sides by 4** to solve for \(x\):
   \[
   x = \frac{10}{4}
   \]
   Simplify the fraction:
   \[
   x = 2.5
   \]

So, the solution is \(x = 2.5\).

Would you like more details or have any questions? Here are some related problems you might be interested in:

1. Solve \(5x + 3 = 2x + 9\).
2. If \(7x - 2 = 3x + 8\), find \(x\).
3. What is \(x\) in the equation \(6x - 5 = 4x + 7\)?
4. Solve \(9x - 4 = 3x + 14\).
5. Find \(x\) when \(12x - 8 = 4x + 16\).

**Tip:** When simplifying equations, always aim to isolate the variable by performing inverse operations step by step.

Learn how to solve the equation 8x - 4 = 4x + 6 step-by-step with a detailed solution. This problem involves solving linear equations, suitable for students in Grades 7-9.

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