There are a few ways you could figure out how many solutions this equation has. Here, the x terms on the left and right sides are different. To try to isolate the variable x, you could eliminate the x term from one of the sides. What move can you make to get rid of the x term on the right side of the equation, 4x, while keeping the equation balanced?

Question

6x−6=4x−2

Multiply each side by 4x

Subtract 4x from each side

Add 4x to each side

Answer 1

To eliminate the \(4x\) term from the right side of the equation \(6x - 6 = 4x - 2\) while keeping the equation balanced, you would subtract \(4x\) from each side.

So, the correct move is:

Subtract \(4x\) from each side.

This will give you:

\[ 6x - 4x - 6 = -2 \]

Which simplifies to:

\[ 2x - 6 = -2 \]