Let’s keep going. We have x terms on both sides of the equation, and we’re trying to isolate x. Let's try to get rid of the x term on one of the sides. What move could you make to get rid of the 8x on the left while keeping the equation balanced?

Question

4(2x−2)+2 = 8x−8
8x−8+2 = 8x−8
8x−6 = 8x−8

A.Add 8x to each side

B.Multiply each side by 8x

C.Subtract 8x from each side

Answer 1

To isolate \( x \) by getting rid of the \( 8x \) term on one side of the equation, you can choose option C. Subtract \( 8x \) from each side.

This will help you eliminate the \( 8x \) from the right side of the equation and allow you to simplify it further.

Here's how it would look:

Starting with: \[ 4(2x - 2) + 2 = 8x - 8 \]

After simplifying the left side: \[ 8x - 8 + 2 = 8x - 8 \] This becomes: \[ 8x - 6 = 8x - 8 \]

Now, if you subtract \( 8x \) from both sides: \[ 8x - 6 - 8x = 8x - 8 - 8x \] This simplifies to: \[ -6 = -8 \]

Though the left side simplifies to a false statement, that's the correct method for eliminating \( 8x \). Thus, option C is the right choice.