The equilibrium structure of planar brushes formed by flexible, regularly branched (comblike and starlike macromolecules), and randomly branched polymers is considered. The diagrams of states in tau,sigma coordinates (tau = (T - Theta)/T is reduced temperature and sigma is grafting area per chain) are constructed, and power-law dependencies for the brush thickness H are obtained. It is shown that due to the existence of two different length scales characterizing comblike macromolecules, the scaling behavior of a "combed" brush is more varied than that of conventional brushes formed by Linear chains. Weakly overlapping combs exhibit behavior similar to that of a conventional brush in a good solvent (H similar to sigma(-1/3)) even at the Theta-point. Strongly overlapping combs rearrange their local structure and recover the exponents for linear brushes in a good solvent (H similar to sigma(-1/3)) and Theta-solvent (H similar to sigma(-1/2)). For marginal solvents, intermediate between good and Theta-solvents, "combed" brushes exhibit a new exponent (H similar to sigma(-5/13)). Brushes formed by starlike and randomly branched polymers demonstrate conventional a-dependencies similar to linear chains. However, the molecular-weight dependencies of the brush thickness H for randomly branched polymers are different.