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