Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation algebraically. Show your work.
17=−13−8x
To solve the equation algebraically, we want to isolate the variable x on one side of the equation.
Starting with the equation 17 = -13 - 8x, we can add 13 to both sides to get rid of the -13 on the right side of the equation:
17 + 13 = -13 - 8x + 13
This simplifies to:
30 = -8x
Now we want to isolate x, so we divide both sides of the equation by -8:
30/-8 = -8x/-8
Simplifying further:
-3.75 = x
So the solution to the equation is x = -3.75.
To solve the equation 17 = -13 - 8x, we want to isolate the variable x on one side of the equation.
Step 1: Start by adding 13 to both sides of the equation to eliminate the -13 on the right side:
17 + 13 = -13 + 13 - 8x
30 = -8x
Step 2: Now, 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 17 = -13 - 8x is x = -3.75.
To solve the equation algebraically, we need to isolate the variable x on one side of the equation. Let's go through the steps:
Step 1: Simplify the equation.
17 = -13 - 8x
Step 2: Combine like terms.
Combine -13 and -8x by adding them together:
17 = -13 - 8x
17 + 13 = -8x
30 = -8x
Step 3: Solve for x.
We want to isolate x, so divide both sides of the equation by -8:
30 / -8 = x
-3.75 = x
Step 4: Final Answer.
The solution to the equation is x = -3.75.
To check, substitute x = -3.75 back into the original equation:
17 = -13 - 8(-3.75)
17 = -13 + 30
17 = 17
The left side of the equation is equal to the right side, so our solution is correct.