Question

Use the equation to answer the question.

Information
negative 6 left-parenthesis b plus 3 right-parenthesis equals negative 8 b plus 5

Question
What value of b makes the equation true? Enter the answer in the box.

Response area with 1 text input box

Answer 1

To solve the equation \(-6(b + 3) = -8b + 5\), we can start by expanding the left side:

\[
-6(b + 3) = -6b - 18
\]

Now the equation looks like this:

\[
-6b - 18 = -8b + 5
\]

Next, we will get all the terms involving \(b\) on one side and the constant terms on the other side. We can add \(8b\) to both sides:

\[
-6b + 8b - 18 = 5
\]

This simplifies to:

\[
2b - 18 = 5
\]

Now we can add \(18\) to both sides:

\[
2b = 5 + 18
\]

This simplifies to:

\[
2b = 23
\]

Finally, we can divide both sides by \(2\) to solve for \(b\):

\[
b = \frac{23}{2}
\]

So the value of \(b\) that makes the equation true is:

\[
b = 11.5
\]

Please input the value \(11.5\) in the response box.