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

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

1. Distribute the 2 on the right side: \[ 2(x + 1) = 2x + 2 \] So the equation becomes: \[ 2x + 5 = 2x + 2 + 11 \]

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

Now, subtract \( 2x \) from both sides: \[ 2x + 5 - 2x = 2x + 13 - 2x \] This simplifies to: \[ 5 = 13 \]

This is a contradiction, which means that there are no values of \( x \) that can satisfy the equation. Therefore, the equation has no solution.