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Solving the equation
Given:
Step 1:
Step 2:
Step 3: 8x
Step 4:
Step 5:
A Distributive Property
B Substitution Property
C
Symmetric Property
D
Multiplication Property
Identify the property that justifies Step 3 when s equation.
A Reflexive Property
B Addition Property
C Substitution Property
D Multiplication Property

Ask by Mccoy Hodges. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

B. Addition Property

Solution

To identify the property that justifies Step 3 in solving the equation , let’s review the steps:
  1. Step 1:
    Applied the Distributive Property.
  2. Step 2:
    Combined like terms.
  3. Step 3:
    Added 2 to both sides of the equation.
  4. Step 4:
    Simplified both sides.
  5. Step 5:
    Solved for by dividing both sides by 8.
Step 3 involves adding the same number (in this case, 2) to both sides of the equation to isolate the variable term. This is an application of the Addition Property of Equality, which states:
Answer:
B. Addition Property

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Beyond the Answer

In Step 3, the equation showcases the clever application of the Addition Property. This property allows us to add the same value to both sides of an equation without changing its equality. It’s like balancing a seesaw; whatever you do to one side, you must do to the other to achieve equilibrium!
Let’s take a closer look at how equations like this show up in everyday life! Suppose you’re budgeting for a party; you have costs on one side of your budget and money coming in on the other. Using principles similar to those in algebra, you’d adjust your expenses or income until those two sides are balanced, ensuring a successful celebration without any financial surprises!

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