The equation shown is:

$|x - 1| + 5 = 2$

Let's solve this step by step.

Step 1: Isolate the absolute value term

Subtract 5 from both sides:

$|x - 1| = 2 - 5$

$|x - 1| = -3$

Step 2: Analyze the absolute value

The absolute value of any expression is always non-negative, meaning $|x - 1| \geq 0$. Since $|x - 1| = -3$ leads to a negative result, this equation has no solution.

Thus, there is no real value of $x$ that satisfies this equation.

Would you like further explanation or details on this?

Here are some related questions for practice:

1. How do you solve equations with absolute values?
2. What is the geometric meaning of absolute value on a number line?
3. How do you solve $|x - 2| = 4$?
4. Can absolute value ever be negative?
5. How does adding a constant outside an absolute value affect the solution?

Tip: Always check if the isolated absolute value equals a non-negative number; if not, there is no solution.