Question

Now that you have all the variables on the right, you can start thinking about how to make sure all the constant numbers are only on one side. What move can you make to get rid of the 10 on the right, so that 3r is alone on the right side, while keeping the equation balanced?
4
1
​
(12r−8)
=
6r+10

3r − 2
=
6r + 10
−
3r
−
3r

−2
=
3r + 10

Subtract 10 from both sides of the equation

Divide both sides by 10

Add 10 to both sides of the equation

Answer 1

To isolate the term with \( r \) on the right side and keep the equation balanced, you can subtract \( 10 \) from both sides of the equation. Here's how you would do it step by step:

Starting from your current equation:
\[
3r - 2 = 6r + 10
\]

1. Subtract \( 10 \) from both sides:
\[
3r - 2 - 10 = 6r + 10 - 10
\]

2. This simplifies to:
\[
3r - 12 = 6r
\]

So, the correct move to get rid of the \( 10 \) on the right side is to **subtract 10 from both sides of the equation**. This will leave \( 3r \) alone on the right side and adjust the constants accordingly.