Question

A student solves the following equation:

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

Answer 1

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.