.12=x+.8(.1-x)

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Solution for .12=x+.8(.1-x) equation:


Simplifying
0.12 = x + 0.8(0.1 + -1x)
0.12 = x + (0.1 * 0.8 + -1x * 0.8)
0.12 = x + (0.08 + -0.8x)

Reorder the terms:
0.12 = 0.08 + x + -0.8x

Combine like terms: x + -0.8x = 0.2x
0.12 = 0.08 + 0.2x

Solving
0.12 = 0.08 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.12 + -0.2x = 0.08 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.12 + -0.2x = 0.08 + 0.0
0.12 + -0.2x = 0.08

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.2x = 0.08 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.2x = 0.08 + -0.12
-0.2x = 0.08 + -0.12

Combine like terms: 0.08 + -0.12 = -0.04
-0.2x = -0.04

Divide each side by '-0.2'.
x = 0.2

Simplifying
x = 0.2

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