Question

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

=

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:

\[
5h - 6 = -5
\]