(98:14 + x - 9/24) * 40 = 480

First, simplify the equation inside the parentheses:

98 ÷ 14 = 7

So, the equation becomes:

(7 + x - 9/24) * 40 = 480

Next, we need to simplify the fraction:

9/24 = 3/8

So, the equation becomes:

(7 + x - 3/8) * 40 = 480

Now, simplify the equation further:

(7 + x - 0.375) * 40 = 480

(7 + x - 0.375) * 40 = 480

(7 + x - 0.375) * 40 = 480

Now, we distribute the 40:

280 + 40x - 15 = 480

Now, combine like terms:

40x + 265 = 480

Subtract 265 from both sides:

40x = 215

Divide by 40:

x = 5.375

Therefore, the value of x that satisfies the equation is 5.375.