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

Answer 1

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.