Chapter 2 - Equations, Inequalities, and Problem Solving - Mid-Chapter Review - Mixed Review - Page 103: 14

$t=-\dfrac{4}{11}$

Using the properties of equality, the solution to the given equation, $ 2(t-5)-3(2t-7)=12-5(3t+1) $, is \begin{array}{l} 2t-10-6t+21=12-15t-5 \\\\ 2t-6t+15t=12-5+10-21 \\\\ 11t=-4 \\\\ t=-\dfrac{4}{11} .\end{array}