x=.9x+2(1-x)

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Solution for x=.9x+2(1-x) equation:


Simplifying
x = 0.9x + 2(1 + -1x)
x = 0.9x + (1 * 2 + -1x * 2)
x = 0.9x + (2 + -2x)

Reorder the terms:
x = 2 + 0.9x + -2x

Combine like terms: 0.9x + -2x = -1.1x
x = 2 + -1.1x

Solving
x = 2 + -1.1x

Solving for variable 'x'.

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

Add '1.1x' to each side of the equation.
x + 1.1x = 2 + -1.1x + 1.1x

Combine like terms: x + 1.1x = 2.1x
2.1x = 2 + -1.1x + 1.1x

Combine like terms: -1.1x + 1.1x = 0.0
2.1x = 2 + 0.0
2.1x = 2

Divide each side by '2.1'.
x = 0.9523809524

Simplifying
x = 0.9523809524

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