0.666(3x+18)=3x-9+2x

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Solution for 0.666(3x+18)=3x-9+2x equation: 


Simplifying
0.666(3x + 18) = 3x + -9 + 2x

Reorder the terms:
0.666(18 + 3x) = 3x + -9 + 2x
(18 * 0.666 + 3x * 0.666) = 3x + -9 + 2x
(11.988 + 1.998x) = 3x + -9 + 2x

Reorder the terms:
11.988 + 1.998x = -9 + 3x + 2x

Combine like terms: 3x + 2x = 5x
11.988 + 1.998x = -9 + 5x

Solving
11.988 + 1.998x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11.988 + 1.998x + -5x = -9 + 5x + -5x

Combine like terms: 1.998x + -5x = -3.002x
11.988 + -3.002x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
11.988 + -3.002x = -9 + 0
11.988 + -3.002x = -9

Add '-11.988' to each side of the equation.
11.988 + -11.988 + -3.002x = -9 + -11.988

Combine like terms: 11.988 + -11.988 = 0.000
0.000 + -3.002x = -9 + -11.988
-3.002x = -9 + -11.988

Combine like terms: -9 + -11.988 = -20.988
-3.002x = -20.988

Divide each side by '-3.002'.
x = 6.991339107

Simplifying
x = 6.991339107

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