6x-3(2x-3)+9(3-x)=12

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Solution for 6x-3(2x-3)+9(3-x)=12 equation: 


Simplifying
6x + -3(2x + -3) + 9(3 + -1x) = 12

Reorder the terms:
6x + -3(-3 + 2x) + 9(3 + -1x) = 12
6x + (-3 * -3 + 2x * -3) + 9(3 + -1x) = 12
6x + (9 + -6x) + 9(3 + -1x) = 12
6x + 9 + -6x + (3 * 9 + -1x * 9) = 12
6x + 9 + -6x + (27 + -9x) = 12

Reorder the terms:
9 + 27 + 6x + -6x + -9x = 12

Combine like terms: 9 + 27 = 36
36 + 6x + -6x + -9x = 12

Combine like terms: 6x + -6x = 0
36 + 0 + -9x = 12
36 + -9x = 12

Solving
36 + -9x = 12

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -9x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -9x = 12 + -36
-9x = 12 + -36

Combine like terms: 12 + -36 = -24
-9x = -24

Divide each side by '-9'.
x = 2.666666667

Simplifying
x = 2.666666667

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