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 \( 2h - 6 = -3h - 5 \), follow these steps:

1. Start with the original equation:

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

2. Add \( 3h \) to both sides:

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

3. Simplify both sides:

   • Left side: \( 2h + 3h - 6 = 5h - 6 \)
   • Right side: \( -3h + 3h - 5 = 0 - 5 = -5 \)

Now, the equation becomes:

\[ 5h - 6 = -5 \]

Thus, after adding \( 3h \) to both sides, the equation is:

\[ 5h - 6 = -5 \]