|x-2|=|3-2x| Minta tolong, caranya yg jelas

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|x-2|=|3-2x|
Minta tolong, caranya yg jelas

|x-2| = |3-2x|
(x-2)² = (3-2x)²
x²-4x+4 = 4x²-12x+9
x²-4x+4 -4x² + 12x -9 = 0
-3x² +8x -5 =0
(-3x²+3x) (5x-5) = 0
-3x (x-1) 5(x-1) = 0
(-3x+5) (x-1) = 0
∴ -3x+5 = 0       atau     x-1 = 0
   -3x = -5                      x = 1
      x = -5/-3
         = 5/3