To find the value of x in this equation, follow these steps:

Subtract 17 from 510:
510 - 17 = 493

Subtract 24 times the result of the expression inside the parentheses from this value:
493 - 24(38 - 80/x) = 462

Simplify the expression inside the parentheses:
38 - 80/x = -42/x + 38

Substitute this expression into the equation:
493 - 24(-42/x + 38) = 462

Distribute the -24:
493 + 1008/x - 912 = 462

Combine like terms:
1008/x - 419 = 462

Add 419 to both sides:
1008/x = 881

Multiply both sides by x to isolate x:
1008 = 881x

Divide both sides by 881 to solve for x:
x = 1008/881
x ≈ 1.144

Therefore, the value of x that satisfies the equation is approximately 1.144.