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.
Starting with the given equation:
17 = -13 - 8x
Add 13 to both sides to get rid of the -13 term on the right side:
17 + 13 = -13 + 13 - 8x
30 = -8x
Divide both sides by -8 to solve for x:
30 / -8 = -8x / -8
-3.75 = x
Therefore, the solution to the equation is x = -3.75.
To solve the equation algebraically, we need to isolate the variable x.
Starting with the given equation:
17 = -13 - 8x
To isolate the term with x, we first need to get rid of the constant term on the right side. To do this, we will add 13 to both sides of the equation:
17 + 13 = -13 + 13 - 8x
30 = -8x
The equation now becomes:
30 = -8x
Next, we divide both sides of the equation by -8 to solve for x:
30/-8 = -8x/-8
-15/4 = x
Therefore, the solution to the equation is x = -15/4.