0.09=x+0.8(0.1-x)

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Solution for 0.09=x+0.8(0.1-x) equation: 


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

Reorder the terms:
0.09 = 0.08 + x + -0.8x

Combine like terms: x + -0.8x = 0.2x
0.09 = 0.08 + 0.2x

Solving
0.09 = 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.
0.09 + -0.2x = 0.08 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.09 + -0.2x = 0.08 + 0.0
0.09 + -0.2x = 0.08

Add '-0.09' to each side of the equation.
0.09 + -0.09 + -0.2x = 0.08 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + -0.2x = 0.08 + -0.09
-0.2x = 0.08 + -0.09

Combine like terms: 0.08 + -0.09 = -0.01
-0.2x = -0.01

Divide each side by '-0.2'.
x = 0.05

Simplifying
x = 0.05

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