To simplify this equation, we need to first distribute the negative sign in the second term on the left side of the equation:

X/6 - X/8 = 736

Next, we need to find a common denominator for the two fractions on the left side. The least common multiple of 6 and 8 is 24:

(4X - 3X)/24 = 736

Simplify the left side of the equation:

X/24 = 736

To solve for X, we need to multiply both sides by 24:

X = 736 * 24

X = 17664

Therefore, the solution to the equation X/6 - X/8 = 736 is X = 17664.