Answer:
![x + 5 = 8](https://img.qammunity.org/2021/formulas/mathematics/high-school/2bs1ek32z24ji34oafuob31cb35fv3rk0o.png)
Explanation:
Given
![Total = 8](https://img.qammunity.org/2021/formulas/mathematics/college/1cm23hb5ftguws8spwf9nyr1cv0yh8d3rj.png)
![Additional\ Vacation = 5](https://img.qammunity.org/2021/formulas/mathematics/high-school/vo5vfrja17112n4789gg80sq5tvlnxy4cf.png)
Required
Determine the equation to find initial days of vacation
This is represented with x.
To get a total of 8 days vacation, we must have the following expression.
![Initial\ Days + Additional\ Days = Total](https://img.qammunity.org/2021/formulas/mathematics/high-school/3vjj6a60f4ujzyhilq59gcp47o7awwsje2.png)
Substitute values for initial days, additional days and total. So, we have
![x + 5 = 8](https://img.qammunity.org/2021/formulas/mathematics/high-school/2bs1ek32z24ji34oafuob31cb35fv3rk0o.png)
Hence, the required expression is:
![x + 5 = 8](https://img.qammunity.org/2021/formulas/mathematics/high-school/2bs1ek32z24ji34oafuob31cb35fv3rk0o.png)