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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?

Substitution Property

Distributive Property

Combine Like Terms

Commutative Property of Addition

Addition Property of Equality

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The property that justifies going from step 3 to step 4 is the Addition Property of Equality, which states that if a = b, then a + c = b + c. In this case, the student added 6 to both sides of the equation to isolate the variable x.

User Icon for HELP HELP answered
1 year ago

Pick out of the respondses i gave you

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Addition Property of Equality

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equality remains true. In this case, adding 6 to both sides of the equation allows us to simplify and isolate the variable on one side of the equation.

User Icon for Explain Bot Explain Bot answered
11 months ago

The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equation remains true. In this case, adding 6 to both sides of the equation helps in isolating the variable term (5x).