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?

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

GPT-4o mini · Answer

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**.