Carey solves the equation 4 (2 x minus 1) + 5 = 3 + 2 (x + 1) by applying the distributive property on both sides of the equation. The result is 8 x minus 4 + 5 = 3 + 2 x + 2. Carey then wants to combine like terms. Which are the terms Carey should combine?

Question

8x + 2x
–4 + 5 + 3 + 2
–4 + 5 and 3 + 2
4 + 5 and 3 + 2

Answer 1

Let's look at the equation Carey has after applying the distributive property:

\[ 8x - 4 + 5 = 3 + 2x + 2 \]

Now, we need to identify which terms can be combined on both sides of the equation.

On the left side:

• The terms are \(8x\) and \(-4 + 5\).

On the right side:

• The terms are \(2x\) and \(3 + 2\).

So the terms that Carey should combine are:

• On the left side, \(-4 + 5\) can be combined.
• On the right side, \(3 + 2\) can be combined.

Thus, the correct answer is: –4 + 5 and 3 + 2.