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

Solve the equation:

2x + 5 = 2(x + 1) + 11 = 2x + 2 + 11 = 2x + 13

So 2x + 5 = 2x + 13 Subtract 2x from both sides: 5 = 13

This is a contradiction, so there is no solution. The equation has no value of x that satisfies it (the two sides differ by 8 for all x).