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

First, let's combine the terms on the left side of the equation:

4 - 7x/15 + 1 - x/3 = 4 - 2x + 1/5

Combine the constants:

5 - 7x/15 - x/3 = 4 - 2x + 1/5

Now let's combine the x-terms:

5 - (7x + 5x)/15 = 4 - 2x + 1/5

5 - 12x/15 = 4 - 2x + 1/5

5 - 4x/5 = 4 - 2x + 1/5

Next, let's multiply through by 5 to get rid of the fractions:

5(5) - 5(4x/5) = 5(4) - 5(2x) + 5(1/5)

25 - 4x = 20 - 10x + 1

Now, let's combine the constants and variable terms to isolate x.

25 - 4x = 21 - 10x

Add 10x to both sides:

25 + 6x = 21

Subtract 25 from both sides:

6x = -4

Finally, divide by 6 to solve for x:

x = -4/6 = -2/3

Therefore, the solution to the equation is x = -2/3.