Help!! Find the value of x.

x = -10

Step-by-step explanation:

x + 75 + x + 125 = 180

2x + 200 = 180

2x = -20

x = -10

(In this problem a negative number is okay because the end value will be a whole number still.)

The answer to an absolute equation problem being equal to a negative is no solution.

The reason for this is because an absolute value symbol makes everything inside positive. Therefore, there is no way it could equal -5/2.