a, \(6.x.5.\left(x-2\right)=23\)
\(\Leftrightarrow30x.\left(x-2\right)=23\)
\(\Leftrightarrow\orbr{\begin{cases}30x=1\\x-20=23\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{30}\\x=43\end{cases}}\left(1\right)}\)
\(\Leftrightarrow\orbr{\begin{cases}30x=23\\x-20=1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{23}{30}\\x=21\end{cases}\left(2\right)}}\)
\(\Leftrightarrow\orbr{\begin{cases}30x=-1\\x-20=-23\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{30}\\x=-3\end{cases}}\left(3\right)}\)
\(\Leftrightarrow\orbr{\begin{cases}30x=-23\\x-20=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-\frac{23}{30}\\x=19\end{cases}}}\)
b, \(42-\left(2x+32\right)+12:2=6\)
\(\Leftrightarrow42-\left(2x+32\right)+6=6\)
\(\Leftrightarrow42-\left(2x+32\right)=0\)
\(\Leftrightarrow2x-32=42\)
\(\Leftrightarrow2x=74\)
\(\Leftrightarrow x=37\)
