Solve for x over the real numbers:
abs(6 - 2 x) = 6
Split the equation into two possible cases:
6 - 2 x = 6 or 6 - 2 x = -6
Subtract 6 from both sides:
-2 x = 0 or 6 - 2 x = -6
Divide both sides by -2:
x = 0 or 6 - 2 x = -6
Subtract 6 from both sides:
x = 0 or -2 x = -12
Divide both sides by -2:
Answer: | x = 0 or x = 6