A non-ablative negative-working imageable element has first and second polymeric layers under a crosslinked silicone rubber layer. These elements can be used in a simple method to provide lithographic printing plates useful for waterless printing (no fountain solution). Processing after imaging is relatively simple using either water or an aqueous solution containing very little organic solvent to remove the imaged regions. The crosslinked silicone rubber layer is ink-repelling and only the first layer that is closest to the substrate contains an infrared radiation absorbing compound to provide thermal sensitivity.