Solve: 2x - 3 = 2x - 5.

2x-3 = 2x-5

because both sides have the same x value (2x) this problem has no solution

Just by looking at the equation, you can see that both sides have the same exact variable. Subtracting either of them to both sides would automatically cancel them out. You would then be left with - 3=-5. Therefore, this equation has no solution.