Let's solve the equation \(|5 - 15| + 5 = 5\).

### Step-by-step:

1. First, simplify the absolute value:
   \[
   |5 - 15| = |-10| = 10
   \]
2. Now, substitute this back into the equation:
   \[
   10 + 5 = 5
   \]
3. Simplify the left-hand side:
   \[
   15 = 5
   \]

This is clearly **false**, meaning the equation \(|5 - 15| + 5 = 5\) has **no solution**.

Would you like further details or have any questions about this?

Here are some related problems to consider:
1. Solve \(|x - 4| + 7 = 10\).
2. Solve \(|3 - 2x| + 5 = 15\).
3. Solve \(|2x + 5| - 3 = 7\).
4. Solve \(|x + 3| + 8 = 12\).
5. Solve \(|x - 1| + 2x = 4\).

**Tip:** When solving equations with absolute values, always isolate the absolute value expression first and then consider both the positive and negative scenarios.

Explore how to solve the absolute value equation |5 - 15| + 5 = 5 with a step-by-step explanation. Learn about key concepts such as absolute value and linear equations. Suitable for students in Grades 6-8.

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