Final answer:
The equation -2x + 4 = -3x + 4 is only true for one value of x, which is x = 0. There are no other values that satisfy this equation.
Step-by-step explanation:
To determine if the equation -2x + 4 = -3x + 4 is true for all, one, or no values of x, we will start by simplifying and solving for x. First, we need to isolate the variable x. Do this by adding 3x to both sides of the equation, which gives us:
x + 4 = 4
Next, subtract 4 from both sides of the equation:
x = 0
So, the equation -2x + 4 = -3x + 4 is only true for one value of x, and that value is x = 0. There are no other values of x for which this equation will hold true.
Keep in mind, when you are working with linear equations, you can always multiply both sides by the same factor to make both sides integers if this is easier to understand.