Does `|-5|+|5|+|-5|=|15|`?

Answer

To determine whether the equation \( |-5| + |5| + |-5| = |15| \) is true or false, we will evaluate both sides step by step.

### Step 1: Evaluate the left-hand side
The left-hand side of the equation is \( |-5| + |5| + |-5| \).

1. Calculate \( |-5| \):
\[ |-5| = 5 \]

2. Calculate \( |5| \):
\[ |5| = 5 \]

3. Calculate \( |-5| \) again:
\[ |-5| = 5 \]

Now, we can substitute these values back into the left-hand side:
\[ |-5| + |5| + |-5| = 5 + 5 + 5 \]

4. Add the values together:
\[ 5 + 5 + 5 = 15 \]

### Step 2: Evaluate the right-hand side
The right-hand side of the equation is \( |15| \).

1. Calculate \( |15| \):
\[ |15| = 15 \]

### Step 3: Compare both sides
Now we compare the results from both sides:
- Left-hand side: \( 15 \)
- Right-hand side: \( 15 \)

Since both sides are equal, we can conclude that:
\[ |-5| + |5| + |-5| = |15| \]
is true.

### Final Conclusion
The given equation \( |-5| + |5| + |-5| = |15| \) is **true**.

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