Negative-working imageable elements can be imaged and processed to provide lithographic printing plates, especially with sulfuric acid-anodized aluminum substrates. These elements have an imageable outermost layer that contains two different polymeric binders, a primary polymeric binder is optionally present a discrete particles, and a secondary polymeric binder comprising a poly(vinyl acetate) that has a degree of hydrolysis of less than 60 mol %. These imageable elements can be designed for either off-press or on-press development.