Solve:
12(16)=abs(19x-92)12(16)=|19x−92|
Simplify 12(16)12(16) to 192192
192=abs(19x-92)192=|19x−92|
Switch sides.
abs(19x-92)=192|19x−92|=192
Since absa=a|a|=a and abs(-a)=a|−a|=a, we need to break down the equation into positive and negative equations.
19x-92=19219x−92=192 and -(19x-92)=192−(19x−92)=192
Positive equation
19x-92=19219x−92=192
Add 9292 to both sides.
19x=192+9219x=192+92
19x=28419x=284
Divide both sides by 1919.
x=284/19x=28419
Negative equation
-(19x-92)=192−(19x−92)=192
Distribute the -1−1 on the left-hand side.
-19x+92=192−19x+92=192
Subtract 9292 from both sides.
-19x=192-92−19x=192−92
-19x=100−19x=100
Divide both sides by -19−19.
x=-100/19x=−10019
Solutions for xx.
x=-100/19,284/19x=−10019,28419
