Answer:
- Therefore, the sum of 5x+20 and the opposite is: 0
- Thus, the equivalent expression is:
[tex]5x+20-\left(5x+20\right)=0[/tex]
Step-by-step explanation:
- We know that the opposite is the additive inverse.
- For example, 8+(−8)=0 where 0 is the identity for addition.
Given that we have to compute the sum of 5x+20 and the opposite.
Given
- opposite of 5x+20 = -(5x+20)
so
The sum of 5x+20 and the opposite:
5x+20 + -(5x+20)
Distribute the Negative Sign
[tex]=5x+20+-1\left(5x+20\right)[/tex]
[tex]=5x+20+-1\left(5x\right)+\left(-1\right)\left(20\right)[/tex]
[tex]=5x+20+-5x+-20[/tex]
Combine Like Terms
[tex]=5x+20+-5x+-20[/tex]
[tex]=\left(5x+-5x\right)+\left(20+-20\right)[/tex]
[tex]=0+0[/tex]
[tex]=0[/tex]
- Therefore, the sum of 5x+20 and the opposite is: 0
- Thus, the equivalent expression is:
[tex]5x+20-\left(5x+20\right)=0[/tex]
