Question

We can distribute the 2 to rewrite the left side of the equation without parentheses. You can think of this as (2·4x)+(2·5). Rewrite the left side.
2(4x+5) = 10x+2
? + ? = 10x+2

Answer 1

To rewrite the left side of the equation \(2(4x + 5)\) without parentheses, you can distribute the 2:

\[
2(4x + 5) = 2 \cdot 4x + 2 \cdot 5
\]

Calculating each term gives:

\[
2 \cdot 4x = 8x \quad \text{and} \quad 2 \cdot 5 = 10
\]

So, we have:

\[
2(4x + 5) = 8x + 10
\]

Now, we can equate \(8x + 10\) to \(10x + 2\):

\[
8x + 10 = 10x + 2
\]

This implies that:

\[
? + ? = 10x + 2 \quad \text{is} \quad 8x + 10
\]

Thus, you can write:

\[
8x + 10 = 10x + 2
\]

So, we can say that:

\[
8x + 10 \, \text{corresponds to} \, ? + ? = 10x + 2.
\]

In summary, you have \(8x\) and \(10\) as the components.