x-9=0.428571429(9-6x)

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Solution for x-9=0.428571429(9-6x) equation: 


Simplifying
x + -9 = 0.428571429(9 + -6x)

Reorder the terms:
-9 + x = 0.428571429(9 + -6x)
-9 + x = (9 * 0.428571429 + -6x * 0.428571429)
-9 + x = (3.857142861 + -2.571428574x)

Solving
-9 + x = 3.857142861 + -2.571428574x

Solving for variable 'x'.

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

Add '2.571428574x' to each side of the equation.
-9 + x + 2.571428574x = 3.857142861 + -2.571428574x + 2.571428574x

Combine like terms: x + 2.571428574x = 3.571428574x
-9 + 3.571428574x = 3.857142861 + -2.571428574x + 2.571428574x

Combine like terms: -2.571428574x + 2.571428574x = 0.000000000
-9 + 3.571428574x = 3.857142861 + 0.000000000
-9 + 3.571428574x = 3.857142861

Add '9' to each side of the equation.
-9 + 9 + 3.571428574x = 3.857142861 + 9

Combine like terms: -9 + 9 = 0
0 + 3.571428574x = 3.857142861 + 9
3.571428574x = 3.857142861 + 9

Combine like terms: 3.857142861 + 9 = 12.857142861
3.571428574x = 12.857142861

Divide each side by '3.571428574'.
x = 3.599999998

Simplifying
x = 3.599999998

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