A student solves the following problem:
Problem:
2(x−3) + 3x = 19
Step 1: 2x − 6 + 3x = 19 Click and drag to move
Step2: (2x + 3x) −6 = 19 Click and drag to move
Step 3: 5x − 6 = 19 Click and drag to move
Step 4: 5x −6 + 6 = 19 + 6 Click and drag to move
Step 5: 5x = 25 Click and drag to move
Step 6: x = 5 Click and drag to move
What property justifies going from step 3 to step 4?
(1 point)
Responses
Substitution Property
Substitution Property
Distributive Property
Distributive Property
Addition Property of Equality
Addition Property of Equality
Commutative Property of Addition
Commutative Property of Addition
Combine Like Terms
1 answer
The property that justifies going from step 3 to step 4 is the Addition Property of Equality, which allows us to add the same value to both sides of the equation without changing its truth.