Question

What number can replace X to show the distributive property 7 (2 + 4) equal 14 + x

Answer 1

To show the distributive property, we need to simplify both sides of the equation and find what \( x \) should be.

Starting with the left side:
\[ 7(2 + 4) \]

Using the distributive property, we can rewrite this as:
\[ 7 \cdot 2 + 7 \cdot 4 \]

Calculating that, we get:
\[ 14 + 28 = 42 \]

So, the left side simplifies to 42.

Now, we look at the right side of the equation:
\[ 14 + x \]

To find \( x \), we set the two sides equal to each other:
\[ 42 = 14 + x \]

To solve for \( x \), subtract 14 from both sides:
\[ x = 42 - 14 \]
\[ x = 28 \]

Thus, the number that can replace \( x \) is \( 28 \).

The final answer is:
\[ x = 28 \]