To solve the equation (-2)*x + 15 = 51, we need to isolate the variable x.

First, we can subtract 15 from both sides of the equation:

(-2)*x + 15 - 15 = 51 - 15

This simplifies to:

(-2)*x = 36

Next, we can divide both sides of the equation by -2 to solve for x:

((-2)*x) / -2 = 36 / -2

This simplifies to:

x = -18

Therefore, the solution to the equation (-2)*x + 15 = 51 is x = -18.