Ответ:

\[1.2(x-4)+4.6=0.3(3+x)\]

\[1.2x-4.8+4.6=0.9+0.3x\]

\[1.2x-0.2=0.9+0.3x\]

\[0.9x=1.1\]

\[x=\frac{11}{9}\]

Ответ: \(x=\frac{11}{9}\).