5x + 8x = x(5 + 8)
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1 point
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Substitution Property
Reflexive Property
Symmetric Property
Transitive Property
Distributive Property
How? baaa
To explain how the distributive property is used in the given equation, let's break it down step by step.
The original equation is: 5x + 8x = x(5 + 8).
To simplify the expression on the right side, we need to distribute the x to both terms inside the parentheses.
x(5 + 8) becomes x * 5 + x * 8.
This simplifies to 5x + 8x, which matches the left side of the equation.
Therefore, the equation is an example of the distributive property, where the x is distributed to each term inside the parentheses.
OKIE baa
Great! If you have any more questions, feel free to ask.
The correct answer is "Distributive Property."
The correct answer is the Distributive Property.
To understand why, let's break down the equation:
5x + 8x = x(5 + 8)
On the left side of the equation, we have the terms 5x and 8x. Since they both contain the variable x, they can be combined using the Addition Property of Equality. This property states that if you have two numbers or expressions on one side of the equation separated by an addition sign, you can add them together.
Combining 5x and 8x gives us 13x, so the equation becomes:
13x = x(5 + 8)
Now, let's focus on the right side of the equation. We have the term x multiplied by the expression (5 + 8). To simplify this, we can use the Distributive Property. This property states that if you have a number or variable multiplied by an expression separated by parentheses, you can distribute the multiplication to each term inside the parentheses.
Applying the Distributive Property to x(5 + 8), we get:
13x = 5x + 8x
Now, we have the same expression on both sides of the equation, so we can conclude that the Distributive Property was used in this equation.