To solve for x, we can rewrite the equation as:

X-15/x = 2

First, multiply both sides by x to eliminate the faction:

x(X-15/x) = 2x

Now distribute x on the left side:

x^2 - 15 = 2x

Rearrange the equation to set it equal to zero:

x^2 - 2x - 15 = 0

Now, we can factor the quadratic equation:

(x-5)(x+3) = 0

Setting each factor to zero gives us two possible solutions for x:

x-5 = 0
x = 5

x+3 = 0
x = -3

Therefore, the solutions to the equation X-15/x = 2 are x = 5 and x = -3.