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