1) Ta có: \(x-4=3x+4\)
\(\Leftrightarrow x-4-3x-4=0\)
\(\Leftrightarrow-2x-8=0\)
\(\Leftrightarrow-2x=8\)
\(\Leftrightarrow x=-4\)
Vậy: x=-4
2) Ta có: \(\frac{x-2}{6}=\frac{5-3x}{2}\)
\(\Leftrightarrow\frac{x-2}{6}-\frac{5-3x}{2}=0\)
\(\Leftrightarrow\frac{x-2}{6}-\frac{3\left(5-3x\right)}{6}=0\)
\(\Leftrightarrow x-2-3\left(5-3x\right)=0\)
\(\Leftrightarrow x-2-15+9x=0\)
\(\Leftrightarrow10x-17=0\)
\(\Leftrightarrow10x=17\)
\(\Leftrightarrow x=\frac{17}{10}\)
Vậy: \(x=\frac{17}{10}\)