To solve the equation $2x + 1 = 4 - x$, we need to isolate the variable $x$. Here are the steps:

1. Add $x$ to both sides to move all $x$-terms to one side: $2x + x + 1 = 4 - x + x$ Simplifies to: $3x + 1 = 4$

2. Subtract 1 from both sides to move constant terms to the other side: $3x + 1 - 1 = 4 - 1$ Simplifies to: $3x = 3$

3. Divide both sides by 3 to solve for $x$: $x = \frac{3}{3}$ Simplifies to: $x = 1$

So, the solution to the equation $2x + 1 = 4 - x$ is $\boxed{x = 1}$.

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Here are some related questions you might find interesting:

1. How do you solve equations with variables on both sides?
2. What steps are necessary to isolate a variable in an equation?
3. Can you explain how to check if the solution to an equation is correct?
4. What happens when an equation has no solutions or infinitely many solutions?
5. How do equations change when dealing with inequalities instead?

Tip: Always perform the same operation on both sides of an equation to keep it balanced.