To solve this equation, we need to isolate the variable x:

100:(18+(82-10x):6)=5
First, simplify the terms within the parentheses:
100: (18 + 72 - 10x):6 = 5
100: (90 - 10x):6 = 5
100: (90 - 10x)/6 = 5

Next, multiply both sides by 6 to clear the denominator:
100 (90 - 10x)/6 = 5 6
6000 - 1000x = 30

Now, isolate the variable x by moving the constant to the other side of the equation:
6000 - 1000x = 30
-1000x = 30 - 6000
-1000x = -5970

Finally, solve for x by dividing both sides by -1000:
x = -5970 / -1000
x = 5.97

Therefore, the solution to the equation is x = 5.97.