0.3333333333(9-6x)+x=7+2x-2

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Solution for 0.3333333333(9-6x)+x=7+2x-2 equation:


Simplifying
0.3333333333(9 + -6x) + x = 7 + 2x + -2
(9 * 0.3333333333 + -6x * 0.3333333333) + x = 7 + 2x + -2
(3 + -2x) + x = 7 + 2x + -2

Combine like terms: -2x + x = -1x
3 + -1x = 7 + 2x + -2

Reorder the terms:
3 + -1x = 7 + -2 + 2x

Combine like terms: 7 + -2 = 5
3 + -1x = 5 + 2x

Solving
3 + -1x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -1x + -2x = 5 + 2x + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -3x = 5 + 0
3 + -3x = 5

Add '-3' to each side of the equation.
3 + -3 + -3x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 5 + -3
-3x = 5 + -3

Combine like terms: 5 + -3 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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