Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (2x+3x)−6=19
Step 3: 5x−6=19
Step 4: 5x−6+6=19+6
Step 5: 5x=25
Step 6: x=5
What property justifies going from step 3 to step 4?
(1 point)
Responses
Addition Property of Equality
Addition Property of Equality
Commutative Property of Addition
Commutative Property of Addition
Substitution Property
Substitution Property
Distributive Property
Distributive Property
Combine Like Terms
1 answer
The property that justifies going from step 3 to step 4 is the Addition Property of Equality.
This property states that if you add (or subtract) the same value from both sides of an equation, the two sides remain equal. In this case, 6 is added to both sides of the equation.
