Plug a few points into the original equation of 5x + 5 = 5x + 4 and check to show that they can have no solution
Let's plug in x = 1:
5(1) + 5 = 5(1) + 4
5 + 5 = 5 + 4
10 = 9
This is not true, so x = 1 is not a solution to the equation.
Now let's plug in x = 0:
5(0) + 5 = 5(0) + 4
0 + 5 = 0 + 4
5 = 4
This is not true either, so x = 0 is not a solution to the equation.
Since we have tried multiple values for x and none of them satisfy the equation, we can conclude that there is no solution to the equation 5x + 5 = 5x + 4.