Respuesta :

Answer:

The value of x in this equation is -23

Step-by-step explanation:

The given equation is:

[tex]-x-8 = 15[/tex]

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

[tex]-x-8+8 = 15+8\\-x = 23[/tex]

Multiplication property of equality

Multiplying both sides by -1

[tex]x = -23[/tex]

Verification:

[tex]-x-8 = 15\\-(-23)-8 = 15\\23-8 = 15\\15 = 15[/tex]

Hence,

The value of x in this equation is -23