4.71=1.085x+11.82(1-x)

Solution for 4.71=1.085x+11.82(1-x) equation:

Simplifying
4.71 = 1.085x + 11.82(1 + -1x)
4.71 = 1.085x + (1 * 11.82 + -1x * 11.82)
4.71 = 1.085x + (11.82 + -11.82x)

Reorder the terms:
4.71 = 11.82 + 1.085x + -11.82x

Combine like terms: 1.085x + -11.82x = -10.735x
4.71 = 11.82 + -10.735x

Solving
4.71 = 11.82 + -10.735x

Solving for variable 'x'.

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

Add '10.735x' to each side of the equation.
4.71 + 10.735x = 11.82 + -10.735x + 10.735x

Combine like terms: -10.735x + 10.735x = 0.000
4.71 + 10.735x = 11.82 + 0.000
4.71 + 10.735x = 11.82

Add '-4.71' to each side of the equation.
4.71 + -4.71 + 10.735x = 11.82 + -4.71

Combine like terms: 4.71 + -4.71 = 0.00
0.00 + 10.735x = 11.82 + -4.71
10.735x = 11.82 + -4.71

Combine like terms: 11.82 + -4.71 = 7.11
10.735x = 7.11

Divide each side by '10.735'.
x = 0.6623195156

Simplifying
x = 0.6623195156