Question

Tìm số nguyên x biết rằng :

2+{-3-[-4+(-5+|x|)]}= 3-[4-(-5+6)]

Answer 1

\(2+\left\{-3-\left[-4+\left(-5+\left|x\right|\right)\right]\right\}=3-\left[4-\left(-5+6\right)\right]\)

\(\Leftrightarrow2+\left\{-3-\left[-4+\left(-5+\left|x\right|\right)\right]\right\}=0\)

\(\Leftrightarrow-3-\left[-4+\left(-5+\left|x\right|\right)\right]=0-2=-2\)

\(\Leftrightarrow-4+\left(-5+\left|x\right|\right)=\left(-2\right)+\left(-3\right)=-5\)

\(\Leftrightarrow-5+\left|x\right|=\left(-5\right)-\left(-4\right)=-1\)

\(\Leftrightarrow\left|x\right|=\left(-1\right)-\left(-5\right)=4\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=4\end{matrix}\right.\)