To solve the equation algebraically, we need to isolate the variable x on one side of the equation.%0D%0AFirst, let's simplify the equation by combining like terms:%0D%0A17 = -13 - 8x%0D%0A%0D%0ATo isolate the variable x, we can start by adding 13 to both sides of the equation:%0D%0A17 + 13 = -13 - 8x + 13%0D%0A30 = -8x%0D%0A%0D%0ANext, we can divide both sides of the equation by -8 to solve for x:%0D%0A30 / -8 = (-8x) / -8%0D%0A-3.75 = x%0D%0A%0D%0ATherefore, the solution to the equation is x = -3.75.

Great! You have correctly solved the equation algebraically. The solution to the equation is indeed x = -3.75.