Most LDPE, MDPE, and HDPE grades have excellent chemical resistance and do not dissolve at room temperature because of the crystallinity. PE (other than cross-linked PE) usually can be dissolved at elevated temperatures in aromatic hydrocarbons, such as toluene or xylene, or chlorinated solvents, such as trichloroethane or trichlorobenzene.
Suggesting that linear solvents are better solvents for linear polymers compared to branched solvents. This is in agreement with the concept of better polymer solubility with increasing similarity between the polymer and solvent.