0.4*1.18(1-x)+0.6(1-x)=1

Solution for 0.4*1.18(1-x)+0.6(1-x)=1 equation:

Simplifying
0.4 * 1.18(1 + -1x) + 0.6(1 + -1x) = 1

Multiply 0.4 * 1.18
0.472(1 + -1x) + 0.6(1 + -1x) = 1
(1 * 0.472 + -1x * 0.472) + 0.6(1 + -1x) = 1
(0.472 + -0.472x) + 0.6(1 + -1x) = 1
0.472 + -0.472x + (1 * 0.6 + -1x * 0.6) = 1
0.472 + -0.472x + (0.6 + -0.6x) = 1

Reorder the terms:
0.472 + 0.6 + -0.472x + -0.6x = 1

Combine like terms: 0.472 + 0.6 = 1.072
1.072 + -0.472x + -0.6x = 1

Combine like terms: -0.472x + -0.6x = -1.072x
1.072 + -1.072x = 1

Solving
1.072 + -1.072x = 1

Solving for variable 'x'.

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

Add '-1.072' to each side of the equation.
1.072 + -1.072 + -1.072x = 1 + -1.072

Combine like terms: 1.072 + -1.072 = 0.000
0.000 + -1.072x = 1 + -1.072
-1.072x = 1 + -1.072

Combine like terms: 1 + -1.072 = -0.072
-1.072x = -0.072

Divide each side by '-1.072'.
x = 0.0671641791

Simplifying
x = 0.0671641791