Solve the following equation algebraically. Show your work.17=−13−8x

To solve the equation algebraically, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:
17 = -13 - 8x

To isolate the variable x, we can start by adding 13 to both sides of the equation:
17 + 13 = -13 - 8x + 13
30 = -8x

Next, we can divide both sides of the equation by -8 to solve for x:
30 / -8 = (-8x) / -8
-3.75 = x

Therefore, the solution to the equation is x = -3.75.