To solve this equation, we can start by using the trigonometric identity:

cos$x$ * cos$y$ = 0.5$$cos(x+y)+cos(x-y)$$

So the given equation becomes:

0.5$$cos(10x+7x)+cos(10x-7x)$$ - 0.5$$cos(2x+15x)+cos(2x-15x)$$ = 0

Simplify this to get:

0.5$$cos(17x)+cos(3x)$$ - 0.5$$cos(17x)+cos(13x)$$ = 0

Now combine like terms:

0.5$$cos(3x)-cos(13x)$$ = 0

Now, we have that:

cos$3x$ - cos$13x$ = 0

Using the trigonometric identity:

cos$a$ - cos$b$ = -2sin$$(a+b)/2$$sin$$(a-b)/2$$

We can rewrite the equation as:

-2sin$$8x$$sin$$5x$$ = 0

Now, we have two cases to consider:

1) sin$$8x$$ = 0
2) sin$$5x$$ = 0

For case 1, sin$$8x$$ = 0 implies that 8x = nπ, where n is an integer.
So, x = nπ / 8

For case 2, sin$$5x$$ = 0 implies that 5x = nπ, where n is an integer.
So, x = nπ / 5

Therefore, the solutions to the given equation are x = nπ / 8 and x = nπ / 5, where n is an integer.