Final answer:
The equation 7-x = 5-x simplifies to 7 = 5, which is a false statement since 7 does not equal 5.
Step-by-step explanation:
The equation 7-x = 5-x is to be evaluated to determine if it is an identity, a conditional equation, or a false statement. First, we can eliminate terms wherever possible to simplify the algebra.
Subtracting '-x' from both sides of the equation, we get 7 = 5 which is clearly not true as 7 does not equal 5.
Therefore, the given equation is a false statement.
Linear equations like 7 y = 6x + 8, 4y = 8, and y + 7 = 3x generally have variables that you can solve for, but this is not the case with the equation 7-x = 5-x, as simplifying it leads to a contradiction, showing it's false.