what is 9+2|4x-3|=19

9+2 (|4x-3|) = 19

2 (|4x-3|) + 9=19

Add - 9 to both sides.

2 (|4x-3|) + 9+-9=19+-9

2 (|4x-3|) = 10

Divide both sides by 2.

2 (|4x-3|) / 2=10/2

|4x-3|=5

Solve Absolute Value.

|4x-3|=5

4x-3=5 or 4x-3=-5

4x-3=5

4x-3+3=5+3 (Add 3 to both sides)

4x=8

4x/4=8/4 (Divide both sides by 4)

x=2

4x-3=-5

4x-3+3=-5+3 (Add 3 to both sides)

4x=-2

4x/4=-2/4 (Divide both sides by 4)

x=-1/2