0.9x+0.1(.2-x)=0.2

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Solution for 0.9x+0.1(.2-x)=0.2 equation: 


Simplifying
0.9x + 0.1(0.2 + -1x) = 0.2
0.9x + (0.2 * 0.1 + -1x * 0.1) = 0.2
0.9x + (0.02 + -0.1x) = 0.2

Reorder the terms:
0.02 + 0.9x + -0.1x = 0.2

Combine like terms: 0.9x + -0.1x = 0.8x
0.02 + 0.8x = 0.2

Solving
0.02 + 0.8x = 0.2

Solving for variable 'x'.

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

Add '-0.02' to each side of the equation.
0.02 + -0.02 + 0.8x = 0.2 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + 0.8x = 0.2 + -0.02
0.8x = 0.2 + -0.02

Combine like terms: 0.2 + -0.02 = 0.18
0.8x = 0.18

Divide each side by '0.8'.
x = 0.225

Simplifying
x = 0.225

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