Answer:
1. Distributive property
2. Combining like terms
3. Adding 5x on both sides
4. Dividing both sides by 6
5. Reflexive property
Explanation:
Here is the justification that Caitlyn used for each step of solving the equation 5(-x - 4) + 2 = x in 5 steps:
5(-x - 4) + 2 = x Given
Step 1: -5x - 20 + 2 = x Distributive property
Step 2: -5x - 18 = x Combining like terms
Step 3: -18 = 6x Adding 5x on both sides
Step 4: -3 = x Dividing both sides by 6
Step 5: x = -3 Reflexive property
Note:
Distributive property:
The distributive property states that a(b + c) = ab + ac.
Combining like terms:
Combining like terms is the process of adding or subtracting terms that have the same variable.
Adding from both sides:
Adding from both sides is a basic operation that can be used to isolate a variable on one side of an equation.
Dividing both sides:
Dividing both sides is a basic operation that can be used to isolate a variable on one side of an equation.
Reflexive property:
The reflexive property of equality states that any element is equal to itself. In other words, for any element a, a = a