1.
\(x-4=11-2x\)
\(\Leftrightarrow x+2x=11+4\)
\(\Leftrightarrow 3x=15\Leftrightarrow x=15:3=5\)
2.
\((x-3)(x-2)=0\Rightarrow \left[\begin{matrix} x-3=0\\ x-2=0\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=3\\ x=2\end{matrix}\right.\)
3.
\(7x-10=x-28\)
\(\Leftrightarrow 7x-10-(x-28)=0\)
\(\Leftrightarrow 6x+18=0\Leftrightarrow 6x=-18\Leftrightarrow x=-3\)
4.
\(|x-5|=10-|-2|=10-2=8\)
\(\Rightarrow \left[\begin{matrix} x-5=8\\ x-5=-8\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=13\\ x=-3\end{matrix}\right.\)