To solve this equation, we need to combine like terms and simplify.

First, let's combine the terms with x:

-7x/15 - x/3 = -2x

Next, let's find a common denominator for the fractions:

-7x/15 = -3x/15
-x/3 = -5x/15

Now, let's substitute the simplified fractions back into the equation:

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

Combining the fractions on the left side of the equation:

$-3x-5x+15$/15 = -2x + 1/5
$-8x+15$/15 = -2x + 1/5

Now, let's solve for x by finding a common denominator and simplifying:

5$-8x+15$ = 15$-2x$ + 3
-40x + 75 = -30x + 3
-40x + 30x = 3 - 75
-10x = -72
x = 7.2

Therefore, the solution to the equation is x = 7.2.