6=(100-(100*x))*0.1

Solution for 6=(100-(100*x))*0.1 equation:

Simplifying
6 = (100 + -1(100x)) * 0.1

Remove parenthesis around (100x)
6 = (100 + -1 * 100x) * 0.1

Multiply -1 * 100
6 = (100 + -100x) * 0.1

Reorder the terms for easier multiplication:
6 = 0.1(100 + -100x)
6 = (100 * 0.1 + -100x * 0.1)
6 = (10 + -10x)

Solving
6 = 10 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
6 + 10x = 10 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 10x = 10 + 0
6 + 10x = 10

Add '-6' to each side of the equation.
6 + -6 + 10x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 10 + -6
10x = 10 + -6

Combine like terms: 10 + -6 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4