2(0.333333333x+4)-6=-0.333333333(3x-21)

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Solution for 2(0.333333333x+4)-6=-0.333333333(3x-21) equation: 


Simplifying
2(0.333333333x + 4) + -6 = -0.333333333(3x + -21)

Reorder the terms:
2(4 + 0.333333333x) + -6 = -0.333333333(3x + -21)
(4 * 2 + 0.333333333x * 2) + -6 = -0.333333333(3x + -21)
(8 + 0.666666666x) + -6 = -0.333333333(3x + -21)

Reorder the terms:
8 + -6 + 0.666666666x = -0.333333333(3x + -21)

Combine like terms: 8 + -6 = 2
2 + 0.666666666x = -0.333333333(3x + -21)

Reorder the terms:
2 + 0.666666666x = -0.333333333(-21 + 3x)
2 + 0.666666666x = (-21 * -0.333333333 + 3x * -0.333333333)
2 + 0.666666666x = (6.999999993 + -0.999999999x)

Solving
2 + 0.666666666x = 6.999999993 + -0.999999999x

Solving for variable 'x'.

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

Add '0.999999999x' to each side of the equation.
2 + 0.666666666x + 0.999999999x = 6.999999993 + -0.999999999x + 0.999999999x

Combine like terms: 0.666666666x + 0.999999999x = 1.666666665x
2 + 1.666666665x = 6.999999993 + -0.999999999x + 0.999999999x

Combine like terms: -0.999999999x + 0.999999999x = 0.000000000
2 + 1.666666665x = 6.999999993 + 0.000000000
2 + 1.666666665x = 6.999999993

Add '-2' to each side of the equation.
2 + -2 + 1.666666665x = 6.999999993 + -2

Combine like terms: 2 + -2 = 0
0 + 1.666666665x = 6.999999993 + -2
1.666666665x = 6.999999993 + -2

Combine like terms: 6.999999993 + -2 = 4.999999993
1.666666665x = 4.999999993

Divide each side by '1.666666665'.
x = 2.999999999

Simplifying
x = 2.999999999

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