.09=x+1.2(.10-x)

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Solution for .09=x+1.2(.10-x) equation: 


Simplifying
0.09 = x + 1.2(0.10 + -1x)
0.09 = x + (0.10 * 1.2 + -1x * 1.2)
0.09 = x + (0.12 + -1.2x)

Reorder the terms:
0.09 = 0.12 + x + -1.2x

Combine like terms: x + -1.2x = -0.2x
0.09 = 0.12 + -0.2x

Solving
0.09 = 0.12 + -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 = 0.12 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
0.09 + 0.2x = 0.12 + 0.0
0.09 + 0.2x = 0.12

Add '-0.09' to each side of the equation.
0.09 + -0.09 + 0.2x = 0.12 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + 0.2x = 0.12 + -0.09
0.2x = 0.12 + -0.09

Combine like terms: 0.12 + -0.09 = 0.03
0.2x = 0.03

Divide each side by '0.2'.
x = 0.15

Simplifying
x = 0.15

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