Answer
$x=-19$
Work Step by Step
$5 + \frac{x-2 }{3} = \frac{x+3}{8}$
$\frac{15+x-2 }{3} = \frac{x+3}{8}$
$\frac{x+13 }{3} = \frac{x+3}{8}$
Multiply both sides by 24.
$24(\frac{x+13 }{3}) = 24(\frac{x+3}{8})$
$8(x+13) = 3(x+3)$
$8x+104 = 3x+9$
$8x-3x = 9-104$
$5x = -95$
$x=-19$