To solve the inequality $x+7$$x-6$$x-14$ < 0, we need to find the values of x that make the expression less than zero.

First, let's find the critical points by setting each factor equal to zero:
x+7 = 0
x = -7

x-6 = 0
x = 6

x-14 = 0
x = 14

These critical points divide the number line into four intervals: $-\infty ,-7$, $-7,6$, $6,14$, and $14,\infty$.

Now we test a value in each interval to see if the expression is positive or negative:
For x = -8: $-1$$-14$$-22$ > 0, not less than 0
For x = 0: $7$$-6$$-14$ < 0
For x = 10: $17$$4$$-4$ < 0
For x = 15: $22$$9$$1$ > 0, not less than 0

Therefore, the solution to the inequality $x+7$$x-6$$x-14$ < 0 is 6 < x < 14.