2x+5=2(x+1)+11=

To solve the equation \( 2x + 5 = 2(x + 1) + 11 \), we can start by simplifying the right-hand side:

1. Distribute \( 2 \) in the expression \( 2(x + 1) \): \[ 2(x + 1) = 2x + 2 \]

2. Substitute this back into the equation: \[ 2x + 5 = 2x + 2 + 11 \]

3. Combine the terms on the right-hand side: \[ 2x + 5 = 2x + 13 \]

4. Now, subtract \( 2x \) from both sides: \[ 5 = 13 \]

This is a contradiction since \( 5 \neq 13 \).

Therefore, the equation has no solutions.