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

To solve the equation \( 2x + 5 = 2(x + 1) + 11 \), we can first simplify the right side:

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

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

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

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

This statement is not true; hence, the original equation has no solution. The two sides are not equal for any value of \( x \).

Thus, \( 2x + 5 = 2(x + 1) + 11 \) has no solution.