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?

Question

5g−10=−5g−6

Add 5g to both sides

Multiply both sides by 5g

Divide both sides by 5g

Answer 1

To isolate the g terms on one side of the equation \(5g - 10 = -5g - 6\), you can add \(5g\) to both sides. This will eliminate the \(-5g\) on the right side and move it to the left side.

Here’s the move in detail:

1. Start with the original equation: \[ 5g - 10 = -5g - 6 \]

2. Add \(5g\) to both sides: \[ 5g + 5g - 10 = -5g + 5g - 6 \] This simplifies to: \[ 10g - 10 = -6 \]

Now, all the \(g\) terms are on the left side, and you can continue solving from there.

So the correct move to balance the equation is "Add 5g to both sides."