Answer
$x = \frac{33}{2}$
Work Step by Step
$\frac{x+3}{6} = \frac{3}{8} + \frac{x-5}{4}$
Take LCD at the right hand side
$\frac{x+3}{6} = \frac{3+2(x-5)}{8} $
$\frac{x+3}{6} = \frac{3+2x-10}{8} $
$\frac{x+3}{6} = \frac{2x-7}{8} $
Multiply both sides by 48 to clear fractions.
$48(\frac{x+3}{6}) = 48(\frac{2x-7}{8}) $
$8(x+3) = 6(2x-7) $
$8x+24 = 12x-42$
Combine like terms.
$24+42= 12x-8x$
$66 = 4x$
$33 = 2x$
$x = \frac{33}{2}$
