Answer:
The value of x in this equation is -23
Explanation:
The given equation is:
![-x-8 = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/ula9k8lt2sr7emv38ejda4nwij7s8gyu04.png)
The given equation is a linear equation in one variable. The solution of the equation requires isolating x on one side of the equation.
Properties of equality will be used to find the solution.
Using Addition property of equality
Adding 8 on both sides
![-x-8+8 = 15+8\\-x = 23](https://img.qammunity.org/2021/formulas/mathematics/high-school/mppei9pcnh9zclhhdvcl4813anqr5tiuj2.png)
Multiplication property of equality
Multiplying both sides by -1
![x = -23](https://img.qammunity.org/2021/formulas/mathematics/high-school/t5bx1cepmc4w6qd4xanfnm8nl4lkrzi0pc.png)
Verification:
![-x-8 = 15\\-(-23)-8 = 15\\23-8 = 15\\15 = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/vee4jjaa399legx0tdfkgrgysgco7q1tvb.png)
Hence,
The value of x in this equation is -23