The property that justifies step 4, where \( 5x - 6 + 6 = 19 + 6 \), is the Addition Property of Equality. This property states that if you add the same amount to both sides of an equation, the equality remains true. In this case, adding 6 to both sides maintains the equality between \( 5x - 6 \) and \( 19 \).
A student solves the following problem: Problem: 2(x−3)+3x=192(x−3)+3x=19 Step 1: 2x−6+3x=192x−6+3x=19 Step 2: (2x+3x)−6=19(2x+3x)−6=19 Step 3: 5x−6=195x−6=19 Step 4: 5x−6+6=19+65x−6+6=19+6 Step 5: 5x=255x=25 Step 6: x=5x=5 What property justifies step 4? (1 point) Responses Substitution Substitution Commutative Property of Addition Commutative Property of Addition Addition Property of Equality Addition Property of Equality Multiplication Property of Equality
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