To solve this equation, we need to first find a common denominator for the fractions on the right side of the equation.

5 and 4 have a common multiple of 20, so we can rewrite the equation as:

4X - 68 / 20 = 15X + 35 / 20 + 2

Next, we can simplify:

4X - 68 / 20 = 15X + 35 / 20 + 40 / 20

Combine like terms:

4X - 68 / 20 = 15X + 75 / 20

Then, we can find the LCD:

20 = 20

Now, set the fractions equal to each other:

4X - 68 = 15X + 75

Subtract 4X from both sides:

-68 = 11X + 75

Subtract 75 from both sides:

-143 = 11X

Divide by 11:

X = -13

Therefore, the solution is X = -13.