Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the steps in solving 7 + 8 x = − 33. Justify each step with an appropriate property.
To solve the equation 7 + 8x = -33, we will follow these steps:
1. Subtract 7 from both sides to isolate the term with x:
7 + 8x - 7 = -33 - 7
8x = -40
2. Divide both sides by 8 to solve for x:
x = -40 / 8
x = -5
Therefore, the solution to the equation 7 + 8x = -33 is x = -5.
The properties used were subtraction property of equality (step 1) and division property of equality (step 2).