To solve this equation, first simplify the expression within the parentheses:

480/x - 56 = 28/24

Next, multiply both sides by x to eliminate the fraction:

480 - 56x = 28x

Now, move all the x terms to one side of the equation:

480 = 28x + 56x

Combine like terms:

480 = 84x

Finally, divide by 84 to solve for x:

x = 480/84
x = 5.714

Therefore, the value of x is 5.714.