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What is the value of [tex]\( |5| - |-5| - (-5) \)[/tex]?

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GinnyAnswer
To determine the value of the expression [tex]\( |5| - |-5| - (-5) \)[/tex], we'll break it down step-by-step, making sure to interpret each mathematical symbol appropriately.

### Step-by-Step Solution:

1. Absolute Value Operations:
- The absolute value of a number is its distance from zero on the number line, disregarding any negative sign.
- Calculate [tex]\( |5| \)[/tex]:
[tex]\[ |5| = 5 \][/tex]
- Calculate [tex]\( |-5| \)[/tex]:
[tex]\[ |-5| = 5 \][/tex]

2. Substitute Absolute Values into the Expression:
Now, replace the absolute values in the original expression:
[tex]\[ 5 - 5 - (-5) \][/tex]

3. Simplify Subtraction and Negative Signs:
- First, simplify [tex]\( 5 - 5 \)[/tex]:
[tex]\[ 5 - 5 = 0 \][/tex]
- Next, subtract [tex]\(-5\)[/tex]:
[tex]\[ 0 - (-5) \][/tex]
- Subtracting a negative number is equivalent to adding its positive counterpart:
[tex]\[ 0 - (-5) = 0 + 5 = 5 \][/tex]

### Final Answer:
The value of the expression [tex]\( |5| - |-5| - (-5) \)[/tex] is:
[tex]\[ 5 \][/tex]
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