To solve the equation \( 6x + 4 = 4x - 1 \), follow these steps:

1. **Move the terms with \( x \) to one side:**

   Subtract \( 4x \) from both sides:
   \[
   6x - 4x + 4 = 4x - 4x - 1
   \]
   This simplifies to:
   \[
   2x + 4 = -1
   \]

2. **Move the constant terms to the other side:**

   Subtract 4 from both sides:
   \[
   2x + 4 - 4 = -1 - 4
   \]
   This simplifies to:
   \[
   2x = -5
   \]

3. **Solve for \( x \):**

   Divide both sides by 2:
   \[
   x = \frac{-5}{2}
   \]
   So, \( x = -\frac{5}{2} \) or \( x = -2.5 \).

The solution is \( x = -2.5 \).

Would you like further details on any of the steps?

Here are 5 related questions to expand your understanding:
1. How do you solve equations with variables on both sides?
2. What are the steps to solve a two-step algebraic equation?
3. How can you verify the solution of an equation?
4. What happens if the equation has no solution or infinite solutions?
5. Can you graph the equation and find the solution visually?

**Tip:** Always simplify the equation by collecting like terms before solving.

Discover how to solve the linear equation 6x + 4 = 4x - 1 with a step-by-step guide. This problem focuses on key algebraic concepts like solving equations with variables on both sides. Ideal for students in Grades 6-8.

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