Question

Add 8 to both sides to get rid of −8, so that 6q is alone on the left side of the equation.
4q − 8
=
−2q − 5
+
2q
+
2q

6q − 8
=
−5
+
8
+
8

=

Answer 1

Let's start with the original equation:

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

We'll follow your instructions to add 8 to both sides of the equation:

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

Simplifying both sides, we have:

\[ 4q = -2q + 3 \]

Next, we need to isolate \( q \). To do this, we can add \( 2q \) to both sides:

\[ 4q + 2q = 3 \]

This simplifies to:

\[ 6q = 3 \]

Now, to solve for \( q \), we can divide both sides by 6:

\[ q = \frac{3}{6} \]

This simplifies to:

\[ q = \frac{1}{2} \]

So, the solution is:

\[ q = \frac{1}{2} \]

In your equation about \( 6q - 8 \) and the other terms, we can summarize the addition:

1. Adding 8 to balance both sides gives:
\[ 6q - 8 + 8 = -5 + 8 + 8 \]
\[ 6q = -5 + 8 \]
\[ 6q = 3 \]

Thus, after the correct steps, the equation simplifies to \( 6q = 3 \), leading us to \( q = \frac{1}{2} \).