.129=.14x+.09(1-x)

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Solution for .129=.14x+.09(1-x) equation: 


Simplifying
0.129 = 0.14x + 0.09(1 + -1x)
0.129 = 0.14x + (1 * 0.09 + -1x * 0.09)
0.129 = 0.14x + (0.09 + -0.09x)

Reorder the terms:
0.129 = 0.09 + 0.14x + -0.09x

Combine like terms: 0.14x + -0.09x = 0.05x
0.129 = 0.09 + 0.05x

Solving
0.129 = 0.09 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
0.129 + -0.05x = 0.09 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
0.129 + -0.05x = 0.09 + 0.00
0.129 + -0.05x = 0.09

Add '-0.129' to each side of the equation.
0.129 + -0.129 + -0.05x = 0.09 + -0.129

Combine like terms: 0.129 + -0.129 = 0.000
0.000 + -0.05x = 0.09 + -0.129
-0.05x = 0.09 + -0.129

Combine like terms: 0.09 + -0.129 = -0.039
-0.05x = -0.039

Divide each side by '-0.05'.
x = 0.78

Simplifying
x = 0.78

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