Let's make balanced moves to try to isolate x. Right now, one of the x terms is inside the parentheses on the left side. So, let’s start by getting rid of the parentheses. One way to do this is to distribute the 4 to the x and to the 2. You can think of this as (4·x)+(4·2).

Question

4(x+2) = 4x+2

?+ ? = 4x+2

Answer 1

It looks like you're trying to simplify the equation \( 4(x + 2) \) correctly, but I think there was a small mistake in your distribution step. The correct distribution is as follows:

Starting with the expression \( 4(x + 2) \):

1. Distribute the 4 to both \( x \) and 2: \[ 4(x) + 4(2) = 4x + 8 \]

So, we rewrite \( 4(x + 2) \) as: \[ 4x + 8 \]

Now, your equation looks like: \[ ? + ? = 4x + 8 \]

If you need to fill in the blanks on the left side to match \( 4x + 8 \), you can use:

• \( 0 + (4x + 8) = 4x + 8 \) (which is a way to express it)

or, just keep it as: \[ 4(x + 2) = 4x + 8 \]

Let me know if you need further help!