To solve this equation, we can start by simplifying both sides:

Left side:
X - 3/4 + X - 4/3 - X - 5/2
Combining like terms:
X + X - X - 3/4 - 4/3 - 5/2
1X - 3/4 - 4/3 - 5/2
To add fractions, we need to find a common denominator. The least common multiple of 4, 3, and 2 is 12.
1X - (9/12) - (16/12) - (30/12)
1X - (55/12)

Right side:
X - 1/8

Now our equation becomes:
1X - (55/12) = X - 1/8

To solve for X, we can start by moving all terms involving X to one side of the equation by subtracting X from both sides:
1X - X - (55/12) = -1/8
0X - (55/12) = -1/8

Next, we can simplify the left side of the equation:
-(55/12) = -1/8
To solve for X, we can multiply both sides by -1 to get rid of the negative sign:
(55/12) = 1/8

This equation is not possible to solve as the left-hand side is not equal to the right-hand side.