17-(43-|x|)=28
17-28=43-|x|
-11=43-|x|
|x|=43+11=54
suy ra x=54 hoăc x=-54
17-(43-|x|)=28
43-|x| =17-28
43-|x| = -11
|x| =43-(-11)
|x| = 54
x = +54;-54
\(\frac{1}{17}-\left(43-\left|x\right|\right)=28\\ \Rightarrow17-\left(43-\left|x\right|\right)28\\ 43-\left|x\right|=17-28\\ \Rightarrow43-\left|x\right|=-11\\ \left|x\right|=43-\left(-11\right)\\ \Rightarrow\left|x\right|=54\\ \Rightarrow x=\pm54\)
Vậy \(x=\pm54\)