Let's first simplify both sides of the equation.

Expanding the left side:
X - 3*(x+1)
= X - 3x - 3
= X - 3x - 3

Expanding the right side:
2*(3x-2) + 7
= 6x - 4 + 7
= 6x + 3

Now our equation becomes:
X - 3x - 3 = 6x + 3

Next, we can combine like terms:
X - 3x = 6x + 3 + 3
-2x = 6x + 6

Now we can solve for x:
-2x = 6x + 6
-2x - 6x = 6
-8x = 6
x = -6/8
x = -3/4

Therefore, the solution to the equation is x = -3/4.