0.18=x*0.1+(1-x)*0.2

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Solution for 0.18=x*0.1+(1-x)*0.2 equation:


Simplifying
0.18 = x * 0.1 + (1 + -1x) * 0.2

Reorder the terms for easier multiplication:
0.18 = 0.1x + (1 + -1x) * 0.2

Reorder the terms for easier multiplication:
0.18 = 0.1x + 0.2(1 + -1x)
0.18 = 0.1x + (1 * 0.2 + -1x * 0.2)
0.18 = 0.1x + (0.2 + -0.2x)

Reorder the terms:
0.18 = 0.2 + 0.1x + -0.2x

Combine like terms: 0.1x + -0.2x = -0.1x
0.18 = 0.2 + -0.1x

Solving
0.18 = 0.2 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
0.18 + 0.1x = 0.2 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
0.18 + 0.1x = 0.2 + 0.0
0.18 + 0.1x = 0.2

Add '-0.18' to each side of the equation.
0.18 + -0.18 + 0.1x = 0.2 + -0.18

Combine like terms: 0.18 + -0.18 = 0.00
0.00 + 0.1x = 0.2 + -0.18
0.1x = 0.2 + -0.18

Combine like terms: 0.2 + -0.18 = 0.02
0.1x = 0.02

Divide each side by '0.1'.
x = 0.2

Simplifying
x = 0.2

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