To solve the equation, we need to find a common denominator for the fractions on both sides. The common denominator for x and 15 is 15x.

Multiplying the equation by 15x, we get:

-7(15) + 8x = -1(x)

Simplifying, we have:

-105 + 8x = -x

Adding x to both sides:

8x + x = 105

Combining like terms:

9x = 105

Dividing both sides by 9:

x = 105/9

Simplifying the fraction:

x = 35/3