.666(3x-9)+4=6x-2

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Solution for .666(3x-9)+4=6x-2 equation: 


Simplifying
0.666(3x + -9) + 4 = 6x + -2

Reorder the terms:
0.666(-9 + 3x) + 4 = 6x + -2
(-9 * 0.666 + 3x * 0.666) + 4 = 6x + -2
(-5.994 + 1.998x) + 4 = 6x + -2

Reorder the terms:
-5.994 + 4 + 1.998x = 6x + -2

Combine like terms: -5.994 + 4 = -1.994
-1.994 + 1.998x = 6x + -2

Reorder the terms:
-1.994 + 1.998x = -2 + 6x

Solving
-1.994 + 1.998x = -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.
-1.994 + 1.998x + -6x = -2 + 6x + -6x

Combine like terms: 1.998x + -6x = -4.002x
-1.994 + -4.002x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1.994 + -4.002x = -2 + 0
-1.994 + -4.002x = -2

Add '1.994' to each side of the equation.
-1.994 + 1.994 + -4.002x = -2 + 1.994

Combine like terms: -1.994 + 1.994 = 0.000
0.000 + -4.002x = -2 + 1.994
-4.002x = -2 + 1.994

Combine like terms: -2 + 1.994 = -0.006
-4.002x = -0.006

Divide each side by '-4.002'.
x = 0.001499250375

Simplifying
x = 0.001499250375

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