add 2q to both sides of the equation to get rid of −2q on the right so that the q terms are only on the left side.

Question

4q − 8
=
−2q − 5
+
2q
+
2q

=

Answer 1

To add \(2q\) to both sides of the equation, we start with the original equation:

\[ 4q - 8 = -2q - 5 \]

Now, we add \(2q\) to both sides:

\[ 4q - 8 + 2q = -2q - 5 + 2q \]

This simplifies to:

\[ (4q + 2q) - 8 = -5 \]

So, we can combine like terms:

\[ 6q - 8 = -5 \]

Now the equation with \(q\) terms only on the left side is:

\[ 6q - 8 = -5 \]