Let's solve the equation: 

\[
-2 + 4x = 1x + 22
\]

### Step 1: Move all terms with \(x\) to one side
Subtract \(1x\) from both sides:

\[
4x - 1x = 22 + 2
\]

### Step 2: Simplify
\[
3x = 24
\]

### Step 3: Solve for \(x\)
Divide both sides by 3:

\[
x = \frac{24}{3} = 8
\]

Thus, the solution is \(x = 8\).

Would you like more details or have any questions?

### Related questions:
1. How do you solve equations with variables on both sides?
2. What are the rules for moving terms across the equals sign?
3. How can you check if a solution is correct in an equation?
4. What is the difference between linear and quadratic equations?
5. How do you solve multi-step algebraic equations?

**Tip:** Always combine like terms before isolating the variable to simplify the solving process.

Discover how to solve the linear equation -2 + 4x = 1x + 22 step by step. This problem demonstrates key algebra concepts, including moving variables to one side and simplifying the equation. Suitable for students in Grades 6-8.

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