We investigate the viscosity dependence on concentration and molecular weight of semiflexible polyelectrolyte sodium carboxymethylcellulose (NaCMC) in aqueous saltfree and NaCl solutions. Combining new measurements and extensive literature data, we establish relevant power laws and crossovers over a wide range of degree of polymerisation (N ), polymer (c) and salt (c s ) concentration. In salt-free solution, the overlap concentration shows the expected c * ∝ N −2 dependence, and the entanglement crossover scales as c e ∝ N −0.6±0.3 , in strong disagreement with scaling theory for which c e ∝ c * is expected, but matching the behaviour found for flexible polyelectrolytes. A second crossover, to a steep concentration dependence for specific viscosity 1 (η sp ∝ c 3.5±0.2 ), commonly assigned to the concentrated regime, is shown to follow c * * ∝ N −0.6±0.2 (with c * * /c e 6) which thus suggests instead a dynamic crossover, possibly related to entanglement. The scaling of c * and c e in 0.01M and 0.1M NaCl shows neutral polymer in good solvent behaviour, characteristic of highly screened polyelectrolyte solutions. This unified scaling picture enables the estimation of viscosity of ubiquitous NaCMC solutions as a function of N , c and c s and establishes the behaviour expected for a range of semiflexible polyelectrolyte solutions.