To solve the equation \( 4x - 10 = -6x - 2 \), follow these steps:

### Step 1: Combine like terms
Start by getting all the terms involving \(x\) on one side of the equation and the constants on the other side.

\[
4x + 6x = -2 + 10
\]

This simplifies to:

\[
10x = 8
\]

### Step 2: Solve for \(x\)
Now, divide both sides of the equation by 10:

\[
x = \frac{8}{10} = \frac{4}{5}
\]

### Final Answer:
\[
x = \frac{4}{5}
\]

Would you like more details on any of these steps?

Here are some related questions you might find useful:
1. What are like terms in an equation?
2. How do you solve equations with variables on both sides?
3. How can you check your solution to an equation?
4. How do you handle fractions when solving equations?
5. Can all linear equations be solved in the same way?

**Tip:** Always check your solution by substituting it back into the original equation!

Learn how to solve the linear equation 4x - 10 = -6x - 2 with a detailed, step-by-step solution. This problem demonstrates key algebraic concepts such as combining like terms and isolating the variable. Suitable for students in Grades 6-8.

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