0.1=12x+((1-x)(0.09))

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Solution for 0.1=12x+((1-x)(0.09)) equation: 


Simplifying
0.1 = 12x + ((1 + -1x)(0.09))

Reorder the terms for easier multiplication:
0.1 = 12x + (0.09(1 + -1x))
0.1 = 12x + ((1 * 0.09 + -1x * 0.09))
0.1 = 12x + ((0.09 + -0.09x))
0.1 = 12x + (0.09 + -0.09x)

Remove parenthesis around (0.09 + -0.09x)
0.1 = 12x + 0.09 + -0.09x

Reorder the terms:
0.1 = 0.09 + 12x + -0.09x

Combine like terms: 12x + -0.09x = 11.91x
0.1 = 0.09 + 11.91x

Solving
0.1 = 0.09 + 11.91x

Solving for variable 'x'.

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

Add '-11.91x' to each side of the equation.
0.1 + -11.91x = 0.09 + 11.91x + -11.91x

Combine like terms: 11.91x + -11.91x = 0.00
0.1 + -11.91x = 0.09 + 0.00
0.1 + -11.91x = 0.09

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -11.91x = 0.09 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -11.91x = 0.09 + -0.1
-11.91x = 0.09 + -0.1

Combine like terms: 0.09 + -0.1 = -0.01
-11.91x = -0.01

Divide each side by '-11.91'.
x = 0.0008396305626

Simplifying
x = 0.0008396305626

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