The paper presents generalized analytical methods for designing adjustable mechanisms based on synthesis of adjustable dyads and triads. The synthesis methods presented here are extensions of the well-known Burmester precison point theory. The adjustable dyad (and traid) synthesis method enables one to design mechanisms for multiple sets of precision points (multiple tasks). Two or more adjustable dyads (or triads) assembled together to form four-bar or geared five bar mechanisms that meet the requirements of multiple tasks. The method generates all adjustable -dyad and -triad solutions for given sets of precision points. Synthesis formulations and the solution spaces are described in detail. Design examples illustrating the synthesis methods are also presented.