Solve the equation for x.
5x - ( 4x - 1) = 2

x = 1

Step-by-step explanation:

Given

5x - (4x - 1) = 2 ← distribute the parenthesis by - 1

5x - 4x + 1 = 2

x + 1 = 2 ( subtract 1 from both sides )

x = 1

The given rule is a translation to the right (2 steps) and down (3 steps).
In order to find the new coordinates, you need to take the given x and add 2 and the given y and subtract 3.
Therefore:
A' (-2+2 , 2-3) --> (0,-1)
B' (-2+2 , 4-3) --> (0,1)
C' (2+2 , 4-3) --> (4,1)
D' (2+2, 2-3) --> (4,-1)

Since the quadrilaterals ABCD and A'B'C'D' are rectangles, connecting the corresponding vertices would give you a parallelepiped, which means that AA', BB', CC', DD' are parallel and congruent segments.