To solve this equation, we first need to combine the terms on the left side of the equation:

-2/3x + 1/5x = -14/15

To combine the fractions, we need to find a common denominator. The least common multiple of 3 and 5 is 15, so we can rewrite the equation with a common denominator of 15:

-10/15x + 3/15x = -14/15

Now we can combine the terms:

-7/15x = -14/15

To solve for x, we can multiply both sides of the equation by -15/7:

x = (-14/15) * (-15/7)
x = 14/7
x = 2

Therefore, the solution to the equation is x = 2.