Certainly! Let's solve the expression [tex]\( |5| - |-5| - (-5) \)[/tex] step by step.
1. Calculate the absolute values:
- The absolute value of 5 is [tex]\( |5| = 5 \)[/tex].
- The absolute value of -5 is [tex]\( |-5| = 5 \)[/tex].
2. Consider the final term, [tex]\(-(-5)\)[/tex]:
- The negative of -5 is 5, so [tex]\(-(-5) = 5\)[/tex].
3. Put the values back into the original expression:
[tex]\[
|5| - |-5| - (-5) = 5 - 5 - 5
\][/tex]
4. Perform the operations:
- First, subtract 5 from 5: [tex]\( 5 - 5 = 0 \)[/tex].
- Then, subtract another 5 from the result: [tex]\( 0 - 5 = -5 \)[/tex].
So, the value of [tex]\( |5| - |-5| - (-5) \)[/tex] is [tex]\( \boxed{5} \)[/tex].
