Answer
The answer is Distributive property
SOLUTION
Problem Statement
We are given the mathematical statement below:
[tex]5(x-3)=5x-15[/tex]
We are asked to find the property that justifies the above statement.
Solution
To solve this problem, we need to understand what the distributive property is.
The distributive property states:
[tex]A(B+C)=AB+AC[/tex]
If A = 5, B = x and C = -3
Thus, applying the Distributive property on the left-hand side of the mathematical equation given:
[tex]\begin{gathered} A(B+C)=AB+BC \\ 5(x-3)=5(x)+5(-3)_{} \\ =5x-15 \end{gathered}[/tex]
This conforms to the Distributive property
Final Answer
The answer is Distributive property
