Now that we have an equation with just one variable, x, we can perform balanced moves to try to isolate x to see if there is a value for x that will make the equation true. Since there are x terms on both sides of the equation, let’s get rid of the x term from one of the sides. What move can you make to get rid of the x term on the left side of the equation, 2x, while keeping the equation balanced?

Question

Now that we have an equation with just one variable, x, we can perform balanced moves to try to isolate x to see if there is a value for x that will make the equation true. Since there are x terms on both sides of the equation, let’s get rid of the x term from one of the sides. What move can you make to get rid of the x term on the left side of the equation, 2x, while keeping the equation balanced?
y= 6+2x
y= 2x+6

6+2x = 2x+6

Multiply each side by 2x

Add 2x to each side

Subtract 2x from each side

GPT-4o mini · Answer

To isolate $ x $ and eliminate the $ x $ term from the left side of the equation $ 6 + 2x = 2x + 6 $, you can **subtract $ 2x $ from each side**. This keeps the equation balanced while eliminating $ 2x $ from the left side. Here's how it would look: Starting with: $$ 6 + 2x = 2x + 6 $$ Subtracting $ 2x $ from both sides: $$ 6 + 2x - 2x = 2x + 6 - 2x $$ This simplifies to: $$ 6 = 6 $$ This result shows that the equation is true for any $ x $, meaning that $ x $ can take any value.