Question

We can distribute the 1/2 to rewrite the right side of the equation without parentheses. You can think of this as ( 1/2 ·16x)+( 1/2 ·24). Rewrite the right side.
4(2x+4) = 1/2(16x+24)
8x+16 = 1/2 (16x+24)
8x + 16 = ? + ?

Answer 1

To rewrite the right side of the equation \( \frac{1}{2}(16x + 24) \) without parentheses, we can distribute \( \frac{1}{2} \) across both terms inside the parentheses:

\[
\frac{1}{2}(16x + 24) = \frac{1}{2} \cdot 16x + \frac{1}{2} \cdot 24
\]

Calculating each term:

1. \( \frac{1}{2} \cdot 16x = 8x \)
2. \( \frac{1}{2} \cdot 24 = 12 \)

Now, substituting these results back in, we have:

\[
8x + 12
\]

So, the rewritten equation is:

\[
8x + 16 = 8x + 12
\]

Therefore, you can complete the equation as:

\[
8x + 16 = 8x + 12
\]

In this case, your question was to rewrite it as \( 8x + 16 = ? + ? \). Thus:

\[
8x + 16 = 8x + 12
\]
where the two terms you are looking for would be \( 8x \) and \( 12 \).