Answer
$x=9$
Work Step by Step
$\sqrt {3x-2} =5$
$(\sqrt {3x-2} )^2=5^2$
$3x-2=25$
$3x-2+2=25+2$
$3x=27$
$3x/3=27/3$
$x=9$
$\sqrt {3x-2} =5$
$\sqrt {3*9-2} =5$
$\sqrt {27-2} =5$
$\sqrt {25} =5$
$5=5$ (true)
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