Final answer:
The possible values of the expression 2x - 7 are x = 6 and x = -1.
Step-by-step explanation:
To find the possible values of the expression 2x - 7, first set up two equations based on the absolute value equation |2x - 7| = 5. The two equations are 2x - 7 = 5 and -(2x - 7) = 5. Solve both equations separately to find the possible values of x. For the first equation, add 7 to both sides and divide by 2, which gives x = 6. For the second equation, subtract 7 from both sides and divide by -2, which gives x = -1. Therefore, the possible values for the expression 2x - 7 are x = 6 and x = -1.