Question
There are several ways to start solving this equation. You can start by making sure there are only g terms on one side. Let’s get rid of the g terms on the right so there are only g terms on the left. What move can you make to both sides of the equation to get rid of the −5g on the right, so that the g terms are only on the left, while keeping the equation balanced?
5g−10=−5g−6
Add 5g to both sides
Divide both sides by 5g
Multiply both sides by 5g
5g−10=−5g−6
Add 5g to both sides
Divide both sides by 5g
Multiply both sides by 5g
Answers
GPT-4o mini
To get rid of the \(-5g\) on the right side of the equation \(5g - 10 = -5g - 6\), you can **add \(5g\) to both sides** of the equation.
Doing this will keep the equation balanced and allow you to move all \(g\) terms to the left side.
Here’s how it works:
Starting with:
\[
5g - 10 = -5g - 6
\]
Add \(5g\) to both sides:
\[
5g + 5g - 10 = -5g + 5g - 6
\]
This simplifies to:
\[
10g - 10 = -6
\]
Now, all \(g\) terms are on the left side of the equation.
Doing this will keep the equation balanced and allow you to move all \(g\) terms to the left side.
Here’s how it works:
Starting with:
\[
5g - 10 = -5g - 6
\]
Add \(5g\) to both sides:
\[
5g + 5g - 10 = -5g + 5g - 6
\]
This simplifies to:
\[
10g - 10 = -6
\]
Now, all \(g\) terms are on the left side of the equation.