To simplify this equation, we will first distribute the 5 on the right side:

(5)(3x-7) = 15x - 35

Now we can rewrite the equation with the simplified right side:

(5x + 4)/3 - 2 = 15x - 35

Next, we can eliminate the fraction by multiplying all terms by 3:

3[(5x + 4)/3 - 2] = 3(15x - 35)

This simplifies to:

5x + 4 - 6 = 45x - 105

Combining like terms, we get:

5x - 2 = 45x - 105

Subtracting 5x from both sides:

-2 = 40x - 105

Adding 105 to both sides:

103 = 40x

Dividing by 40:

x = 103/40

Therefore, the solution is x = 103/40.