Solve for x over the real numbers:
abs(3-2 x) = 7
Split the equation into two possible cases:
3-2 x = 7 or 3-2 x = -7
Subtract 3 from both sides:
-2 x = 4 or 3-2 x = -7
Divide both sides by -2:
x = -2 or 3-2 x = -7
Subtract 3 from both sides:
x = -2 or -2 x = -10
Divide both sides by -2:
Answer: |x = -2 or x = 5