\(-\left|x-6\right|=\left(63-\left|-176\right|+89\right)-\left(63+89\right)\)
\(-\left|x-6\right|=\left(63-176+89\right)-63-89\)
\(-\left|x-6\right|=\left(63-63\right)+\left(89-89\right)+\left(-176\right)\)
\(-\left|x-6\right|=-176\)
\(\left|x-6\right|=176\)
\(\Rightarrow\orbr{\begin{cases}x-6=176\\x-6=-176\end{cases}\Rightarrow\orbr{\begin{cases}x=182\\x=-170\end{cases}}}\)
\(\Rightarrow x\in\left\{-170;182\right\}\)
\(-\left|x-6\right|=\left(63-\left|-176\right|+89\right)-\left(63+89\right)\)
\(\Rightarrow-1.\left|x-6\right|=\left(63-176+89\right)-\left(63+89\right)\)
\(\Rightarrow-1.\left|x-6\right|=-24-152\)
\(\Rightarrow-1.\left|x-6\right|=-176\)
\(\Rightarrow\left|x-6\right|=-176:\left(-1\right)\)
\(\Rightarrow\left|x-6\right|=176\)
+ TH1:
\(x-6=176\)
\(\Rightarrow x=182\)
+ TH2:
\(x-6=-176\)
\(\Rightarrow x=-170\)
Vậy x = 182 hoặc x =-170
Chúc bạn học tốt !
