Solve the equation with the replacement set {–34, –2, 2, 34} |16 – x| = 18 –2, 2 –2, 34 2 –34

Solve for x over the integers:
abs(16 - x) = 18
Split the equation into two possible cases:
16 - x = 18 or 16 - x = -18
Subtract 16 from both sides:
-x = 2 or 16 - x = -18
Multiply both sides by -1:
x = -2 or 16 - x = -18
Subtract 16 from both sides:
x = -2 or -x = -34
Multiply both sides by -1:
  x = -2 or x = 34