Question

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?
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.