To solve the equation $2\sqrt{2} - 1 - x = 0$, follow these steps:

Step 1: Isolate $x$

Add $x$ to both sides of the equation to isolate it: $2\sqrt{2} - 1 = x$

Step 2: Simplify the right-hand side

We already have $x$ expressed in terms of a constant, so: $x = 2\sqrt{2} - 1$

Final Answer:

$x = 2\sqrt{2} - 1$

This is the simplified value of $x$.

Would you like more details or a step-by-step breakdown of the process?

Here are 5 related questions:

1. What is the decimal approximation of $x = 2\sqrt{2} - 1$?
2. How do you solve similar equations involving square roots?
3. What is the general method for solving linear equations with constants?
4. How do we verify the solution by substitution into the original equation?
5. What is the meaning of irrational numbers like $\sqrt{2}$?

Tip: When working with square roots in equations, isolating them early helps simplify the solving process.