Answer
x = 15
Work Step by Step
Original Equation
$\frac{6}{x+3}$ = $\frac{4}{x-3}$
Multiply equation by the LCD, (x+3)(x-3) to get rid of denominators
6(x-3) = 4(x+3)
Distribute
6x-18 = 4x+12
Simplify
2x = 30
Divide by 2 to find x
x = 15