Final answer:
The equation x + 17 = x + 10 has no solution, as subtracting x from both sides leads to the false statement 17 = 10.
Step-by-step explanation:
To solve the equation x + 17 = x + 10, you can try simplifying it by subtracting x from both sides of the equation. However, once you perform the subtraction, you are left with 17 = 10, which is not true and indicates that there is no solution for the value of x that can satisfy this equation. This means that there are no possible values of x that will make both sides of the equation equal, and hence the equation is considered to have no solution.