Let's solve the equation step by step.

The equation is:

$4x + 2 = 2x + 22$

Step 1: Move all the terms involving $x$ to one side of the equation.

Subtract $2x$ from both sides:

$(4x - 2x) + 2 = 22$

This simplifies to:

$2x + 2 = 22$

Step 2: Move the constant term to the other side.

Subtract 2 from both sides:

$2x = 22 - 2$

This simplifies to:

$2x = 20$

Step 3: Solve for $x$.

Divide both sides by 2:

$x = \frac{20}{2} = 10$

So, the solution is:

$x = 10$

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you solve linear equations with variables on both sides?
2. What happens if the solution to an equation is not a whole number?
3. Can linear equations have no solution or infinitely many solutions?
4. How can you check if your solution to a linear equation is correct?
5. How do you solve equations with fractions or decimals?

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