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
Great job!
We can add 3h to both sides of the equation to get rid of −3h on the right side of the equation, while keeping the equation balanced. Record adding 3h to each side now.
2h − 6
=
−3h − 5
+
3h
+
3h
Good work!
Now, add 3h to both sides of the equation to get rid of −3h on the right so that the h terms are only on the left side.
2h − 6
=
−3h − 5
+
3h
+
3h
=
Great job!
Now that you have all the h terms on the left, you can start thinking about how to make sure the constant numbers are only on one side of the equation. What move can you make to get rid of the −6 on the left, so that all the constant numbers are on the right, while keeping the equation balanced?
2h − 6
=
−3h − 5
+
3h
+
3h
5h − 6
=
−5
Add 6 to both sides
Multiply both sides by 6
Subtract 6 from both sides
Divide both sides by 6
Great job!
We can add 6 to both sides to get rid of −6, so that 5h is alone on the left side of the equation. Record adding 6 on each side.
2h − 6
=
−3h − 5
+
3h
+
3h
5h − 6
=
−5
+
6
+
6
You got it!
Add 6 to both sides to get rid of −6, so that 5h is alone on the left side of the equation.
2h − 6
=
−3h − 5
+
3h
+
3h
5h − 6
=
−5
+
6
+
6
=
Good work!
Solve for h. You can choose to show your work below or solve on paper and then enter your answer on Zearn.
2h − 6
=
−3h − 5
+
3h
+
3h
5h − 6
=
−5
+
6
+
6
5h
=
1
h
=
1 answer
Let's solve the equation step by step.
We started with the equation: \[ 2h - 6 = -3h - 5 \]
1. Add \(3h\) to both sides: \[ 2h + 3h - 6 = -3h + 3h - 5 \] This simplifies to: \[ 5h - 6 = -5 \]
2. Add \(6\) to both sides: \[ 5h - 6 + 6 = -5 + 6 \] This simplifies to: \[ 5h = 1 \]
3. Now, divide both sides by \(5\): \[ h = \frac{1}{5} \]
Thus, the solution to the equation is: \[ \boxed{\frac{1}{5}} \]
