Question

13−2(b+2)
=
6b−7

13−2b−4
=
6b−7

−2b + 9
=
6b − 7
+
2b
+
2b

9
=
8b−7

b
=

Answer 1

Let's solve the equation step by step starting from your expression:

\[ 13 - 2(b + 2) = 6b - 7 \]

1. Distribute \(-2\) through the parentheses:
\[
13 - 2b - 4 = 6b - 7
\]

2. Combine like terms on the left side:
\[
9 - 2b = 6b - 7
\]

3. Add \(2b\) to both sides to get all \(b\) terms on one side:
\[
9 = 8b - 7
\]

4. Add \(7\) to both sides:
\[
16 = 8b
\]

5. Divide both sides by \(8\):
\[
b = \frac{16}{8} = 2
\]

So, the solution is:
\[
b = 2
\]