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

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


Simplifying
2(0.3x + 4) + -6 = 0.3(3x + -21)

Reorder the terms:
2(4 + 0.3x) + -6 = 0.3(3x + -21)
(4 * 2 + 0.3x * 2) + -6 = 0.3(3x + -21)
(8 + 0.6x) + -6 = 0.3(3x + -21)

Reorder the terms:
8 + -6 + 0.6x = 0.3(3x + -21)

Combine like terms: 8 + -6 = 2
2 + 0.6x = 0.3(3x + -21)

Reorder the terms:
2 + 0.6x = 0.3(-21 + 3x)
2 + 0.6x = (-21 * 0.3 + 3x * 0.3)
2 + 0.6x = (-6.3 + 0.9x)

Solving
2 + 0.6x = -6.3 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
2 + 0.6x + -0.9x = -6.3 + 0.9x + -0.9x

Combine like terms: 0.6x + -0.9x = -0.3x
2 + -0.3x = -6.3 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
2 + -0.3x = -6.3 + 0.0
2 + -0.3x = -6.3

Add '-2' to each side of the equation.
2 + -2 + -0.3x = -6.3 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3x = -6.3 + -2
-0.3x = -6.3 + -2

Combine like terms: -6.3 + -2 = -8.3
-0.3x = -8.3

Divide each side by '-0.3'.
x = 27.66666667

Simplifying
x = 27.66666667

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