Answer
$t=3$
Work Step by Step
$2t-6=3-t$ $\longrightarrow$addition property of equality
$2t-6+6+t=3-t+6+t$ $\longrightarrow$combine like terms
$3t=9$ $\longrightarrow$multiplication property of equality
$3t\div3=9\div3$ $\longrightarrow$simplify
$t=3$