Answer
$x=119$
Work Step by Step
$\log_{3}(2x+5)=5\qquad \color{blue}{\text{ ...apply to both sides: } 3^{(...)},\quad a^{\log_{a}x}=x }$
$2x+5=3^{5}$
$2x+5=243$
$2x=238$
$x=119$
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