x=x(1.23)+(1-x)(.8)

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Solution for x=x(1.23)+(1-x)(.8) equation: 


Simplifying
x = x(1.23) + (1 + -1x)(0.8)

Reorder the terms for easier multiplication:
x = 1.23x + (1 + -1x)(0.8)

Reorder the terms for easier multiplication:
x = 1.23x + 0.8(1 + -1x)
x = 1.23x + (1 * 0.8 + -1x * 0.8)
x = 1.23x + (0.8 + -0.8x)

Reorder the terms:
x = 0.8 + 1.23x + -0.8x

Combine like terms: 1.23x + -0.8x = 0.43x
x = 0.8 + 0.43x

Solving
x = 0.8 + 0.43x

Solving for variable 'x'.

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

Add '-0.43x' to each side of the equation.
x + -0.43x = 0.8 + 0.43x + -0.43x

Combine like terms: x + -0.43x = 0.57x
0.57x = 0.8 + 0.43x + -0.43x

Combine like terms: 0.43x + -0.43x = 0.00
0.57x = 0.8 + 0.00
0.57x = 0.8

Divide each side by '0.57'.
x = 1.403508772

Simplifying
x = 1.403508772

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