x=0.9x+0.3(1-x)

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Solution for x=0.9x+0.3(1-x) equation:


Simplifying
x = 0.9x + 0.3(1 + -1x)
x = 0.9x + (1 * 0.3 + -1x * 0.3)
x = 0.9x + (0.3 + -0.3x)

Reorder the terms:
x = 0.3 + 0.9x + -0.3x

Combine like terms: 0.9x + -0.3x = 0.6x
x = 0.3 + 0.6x

Solving
x = 0.3 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
x + -0.6x = 0.3 + 0.6x + -0.6x

Combine like terms: x + -0.6x = 0.4x
0.4x = 0.3 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.4x = 0.3 + 0.0
0.4x = 0.3

Divide each side by '0.4'.
x = 0.75

Simplifying
x = 0.75

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