a,\(\left(+22\right)+\left(+23\right)+x=21+\left|-24\right|\)
\(22+23+x=21+24\)
\(45+x=45\)
\(x=0\)
b,\(\left|-3\right|+\left|-7\right|=x+3\)
\(3+7=x+3\)
\(10=x+3\)
\(x=7\)
c,\(8+\left|x\right|=\left|-8\right|+11\)
\(8+\left|x\right|=19\)
\(\left|x\right|=11\)
\(\Leftrightarrow\left[{}\begin{matrix}x=11\\x=-11\end{matrix}\right.\)
Vậy...
d,\(\left|x-2\right|=2-x\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=2-x\\x-2=-2+x\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2-2+x=0\\x-2+2-x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-4+2x=0\\0=0\end{matrix}\right.\)
Vì 0=0 nên trường hợp 2 loại
\(-4+2x=0\)
\(x=2\)
Vậy...
h,\(\left|x+2\right|=x+2\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=x+2\\x+2=-x-2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2-x-2=0\\x+2+x+2=0\end{matrix}\right.\)
TH1 loại
\(x+2+x+2=0\)
\(2x+4=0\)
\(x=-2\)