3x+9-8x-12+2x+6=6x+18

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Solution for 3x+9-8x-12+2x+6=6x+18 equation: 


Simplifying
3x + 9 + -8x + -12 + 2x + 6 = 6x + 18

Reorder the terms:
9 + -12 + 6 + 3x + -8x + 2x = 6x + 18

Combine like terms: 9 + -12 = -3
-3 + 6 + 3x + -8x + 2x = 6x + 18

Combine like terms: -3 + 6 = 3
3 + 3x + -8x + 2x = 6x + 18

Combine like terms: 3x + -8x = -5x
3 + -5x + 2x = 6x + 18

Combine like terms: -5x + 2x = -3x
3 + -3x = 6x + 18

Reorder the terms:
3 + -3x = 18 + 6x

Solving
3 + -3x = 18 + 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.
3 + -3x + -6x = 18 + 6x + -6x

Combine like terms: -3x + -6x = -9x
3 + -9x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -9x = 18 + 0
3 + -9x = 18

Add '-3' to each side of the equation.
3 + -3 + -9x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = 18 + -3
-9x = 18 + -3

Combine like terms: 18 + -3 = 15
-9x = 15

Divide each side by '-9'.
x = -1.666666667

Simplifying
x = -1.666666667

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