Question

There are several ways to start solving this equation. You can start by making sure there are only h terms on one side. Let’s get rid of the h terms on the right so there are only h terms on the left. What move can you make to both sides of the equation to get rid of the −3h on the right, so that the h terms are only on the left, while keeping the equation balanced?
2h−6=−3h−5

Subtract 3h from both sides

Multiply both sides by 3h

Add 3h to both sides

Answer 1

To get rid of the \(-3h\) on the right side of the equation and have only \(h\) terms on the left side, you should **add \(3h\) to both sides** of the equation. This will keep the equation balanced.

Starting with the equation:

\[2h - 6 = -3h - 5\]

If you add \(3h\) to both sides, you will get:

\[2h + 3h - 6 = -3h + 3h - 5\]

This simplifies to:

\[5h - 6 = -5\]

Now all the \(h\) terms are on the left side. So, the correct move is to **add \(3h\) to both sides**.