Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Using the properties of equality, the solution to the given equation, $13t-(5-2t)=5(3t-1)$, is \begin{array}{l}\require{cancel} 13t-5+2t=5(3t)+5(-1) \\\\ 13t-5+2t=15t-5 \\\\ 13t+2t-15t=-5+5 \\\\ 0=0 .\end{array} Since the solution above ended with a TRUE statement, then the given equation is an identity.