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

To solve this equation, we can start by simplifying both sides of the equation.

First, let's simplify the right side of the equation: 2(x+1) means multiplying 2 by both terms inside the parentheses, which gives us 2x + 2.

So the equation becomes: 2x + 5 = 2x + 2 + 11

Next, we can combine like terms on the right side: 2x + 5 = 2x + 13

Now, let's isolate the variable on one side of the equation. Since the variable term 2x is already on both sides of the equation, we can subtract 2x from both sides to eliminate the variable term from the equation: 2x - 2x + 5 = 2x - 2x + 13

This simplifies to: 5 = 13

However, we have a contradiction since 5 is not equal to 13.

Therefore, the given equation has no solutions.