To solve the equation -4x + 2 = -4x + 1, we need to simplify and check if there is a solution:
1. Start by simplifying both sides of the equation:
-4x + 2 = -4x + 1
2. Subtract -4x from both sides to isolate the variable:
-4x + 4x + 2 = -4x - 4x + 1
0 + 2 = 0 + 1
2 = 1
3. After simplifying, we get the equation 2 = 1, which is not a true statement. This means there is no solution to the equation -4x + 2 = -4x + 1.
4. When you encounter an equation that leads to a false statement like 2 = 1, it indicates that there is no solution that would make both sides of the equation equal.
Therefore, after checking the solution, we find that the equation -4x + 2 = -4x + 1 has no solution.
