To solve the equation \(10 - 5b = 2 - 3b\), we can start by rearranging it to isolate \(b\).
- First, add \(5b\) to both sides:
\[ 10 = 2 - 3b + 5b \]
This simplifies to:
\[ 10 = 2 + 2b \]
- Next, subtract \(2\) from both sides:
\[ 10 - 2 = 2b \]
This simplifies to:
\[ 8 = 2b \]
- Finally, divide both sides by \(2\):
\[ b = \frac{8}{2} = 4 \]
So, \(b\) equals \(4\).