Answer
x=1
Work Step by Step
Original Equation
$\frac{12}{3x^{2}+12x}$ = 1 - $\frac{1}{x+4}$
Multiply equation by the LCD, 3x(x+4) to get rid of denominators
12 = 3x(x+4)-3x
Simplify
$3x^{2}$+9x-12 = 0
Factor
(3x-3)(x+4)=0
x=1, x=-4
However, x=-4 would make the denominator equal to 0 so the solution is x=1.
