3(x-9)=2-6x

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Solution for 3(x-9)=2-6x equation:


Simplifying
3(x + -9) = 2 + -6x

Reorder the terms:
3(-9 + x) = 2 + -6x
(-9 * 3 + x * 3) = 2 + -6x
(-27 + 3x) = 2 + -6x

Solving
-27 + 3x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-27 + 3x + 6x = 2 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-27 + 9x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-27 + 9x = 2 + 0
-27 + 9x = 2

Add '27' to each side of the equation.
-27 + 27 + 9x = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 9x = 2 + 27
9x = 2 + 27

Combine like terms: 2 + 27 = 29
9x = 29

Divide each side by '9'.
x = 3.222222222

Simplifying
x = 3.222222222

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