0.1=x+0.8(0.09-x)

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


Simplifying
0.1 = x + 0.8(0.09 + -1x)
0.1 = x + (0.09 * 0.8 + -1x * 0.8)
0.1 = x + (0.072 + -0.8x)

Reorder the terms:
0.1 = 0.072 + x + -0.8x

Combine like terms: x + -0.8x = 0.2x
0.1 = 0.072 + 0.2x

Solving
0.1 = 0.072 + 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.
0.1 + -0.2x = 0.072 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.1 + -0.2x = 0.072 + 0.0
0.1 + -0.2x = 0.072

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.2x = 0.072 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.2x = 0.072 + -0.1
-0.2x = 0.072 + -0.1

Combine like terms: 0.072 + -0.1 = -0.028
-0.2x = -0.028

Divide each side by '-0.2'.
x = 0.14

Simplifying
x = 0.14

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