.13=.16X+.12(1-X)

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Solution for .13=.16X+.12(1-X) equation: 


Simplifying
0.13 = 0.16X + 0.12(1 + -1X)
0.13 = 0.16X + (1 * 0.12 + -1X * 0.12)
0.13 = 0.16X + (0.12 + -0.12X)

Reorder the terms:
0.13 = 0.12 + 0.16X + -0.12X

Combine like terms: 0.16X + -0.12X = 0.04X
0.13 = 0.12 + 0.04X

Solving
0.13 = 0.12 + 0.04X

Solving for variable 'X'.

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

Add '-0.04X' to each side of the equation.
0.13 + -0.04X = 0.12 + 0.04X + -0.04X

Combine like terms: 0.04X + -0.04X = 0.00
0.13 + -0.04X = 0.12 + 0.00
0.13 + -0.04X = 0.12

Add '-0.13' to each side of the equation.
0.13 + -0.13 + -0.04X = 0.12 + -0.13

Combine like terms: 0.13 + -0.13 = 0.00
0.00 + -0.04X = 0.12 + -0.13
-0.04X = 0.12 + -0.13

Combine like terms: 0.12 + -0.13 = -0.01
-0.04X = -0.01

Divide each side by '-0.04'.
X = 0.25

Simplifying
X = 0.25

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