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.

Question

2h − 6
=
−3h − 5
+
3h
+
3h

=

Answer 1

To add \(3h\) to both sides of the equation \(2h - 6 = -3h - 5\), we follow these steps:

Starting with the original equation:

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

Now, add \(3h\) to both sides:

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

Combine like terms:

On the left side: \[ 2h + 3h - 6 = 5h - 6 \]

On the right side: \[ -3h + 3h - 5 = 0h - 5 = -5 \]

Putting it all together, we get:

\[ 5h - 6 = -5 \]

So, the new equation is:

\[ 5h - 6 = -5 \]