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

On the left side, we have X multiplied by 4/3. This can be written as (4/3)X.

On the right side, we have 15/3 - 22/6. To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 6 is 6. So, we can rewrite the equation as:

(4/3)X = (15/3) - (22/6)

Now, let's simplify the right side:

(15/3) - (22/6) = 5 - (11/3)

To subtract 11/3 from 5, we need to find a common denominator. The least common multiple of 3 is 3. So, we can rewrite the equation as:

(4/3)X = (15/3) - (22/6) = 5 - (11/3) = (15/3) - (11/3) = 4/3

Now, we have:

(4/3)X = 4/3

To solve for X, we can divide both sides of the equation by (4/3):

X = (4/3) / (4/3)

When we divide a fraction by itself, the result is always 1. So, we have:

X = 1

Therefore, the solution to the equation is X = 1.