Answer
$x=14$
Work Step by Step
$\frac{x+3}{4} = \frac{x-2}{3} + \frac{1}{4}$
Taking LCD,
$\frac{x+3}{4} = \frac{4(x-2)+3}{12} $
Multiply both sides by $12$
$12(\frac{x+3}{4}) = 12(\frac{4(x-2)+3}{12} )$
$3(x+3)= 4(x-2) + 3$
$3x+9=4x-8+3$
$3x+9=4x-5$
$4x-3x = 9+5$
$x = 14$
