Answer
$t=-6$
Work Step by Step
Using the Distributive Property which is given by $a(b+c)=ab+ac,$ then
\begin{array}{l}\require{cancel}
2(t+3)-5=1-(6-t)
\\\\
2(t)+2(3)-5=1-1(6)-1(-t)
\\\\
2t+6-5=1-6+t
.\end{array}
Using the properties of equality and by combining like terms, then
\begin{array}{l}\require{cancel}
2t+6-5=1-6+t
\\\\
2t-t=1-6-6+5
\\\\
t=-6
.\end{array}