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.

Question

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.