\[5c - \left( 2c - \left( (b - c) - 2b \right) \right) =\]
\[= 5c - \left( 2c - (b - c - 2b) \right) =\]
\[= 5c - (2c - b + c + 2b) =\]
\[= 5c - 2c + b - c - 2b =\]
\[= (5 - 2 - 1)c + (1 - 2)b =\]
\[= 2c - b\]