Question

Name the property of real numbers illustrated by the equation 5(x-3)=5x-15

Answer 1

This is known as the distributive property.

When you have a number outside of parentheses, (typically when there's a variable either inside or outside the parentheses), you can apply the number outside the parentheses to each term inside the parentheses, and the answer will still be equal.

Answer 2

Distributive Property is your answer.

In the case of "5(x - 3)", the parenthesis cannot be simplified, because you cannot combine a number and variable. To simplify, you must distribute the outside number (5), too all terms within the parenthesis

5(x - 3) = 5(x) + 5(-3)

Simplify.

5(x) = 5x

5(-3) = -15

5x - 15 is the answer (true, it makes the equation true)

Distribute Property is your answer

~Rise Above the Ordinary, Senpai