2|2x-3|+12>18

case 1 2x-3 > 0

x > 3/2

This then becomes 2 (2x-3) + 12 > 18

2 ( 2x -3) + 12 > 18

2 (2x -3) > 18 -12

2(2x -3) > 6

2x -3 > 3

2x > 6

x > 3

Case 2 x < 3/2

-2 (2x -3 ) + 12 > 18

-2 (2x -3) > 18 -12

-2 (2x-3) > 6

2x -3 < 6/-2

2x -3 < -3

2x < 0

x <0

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