.333(9x+27)-4=.5(x-1)-6

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Solution for .333(9x+27)-4=.5(x-1)-6 equation: 


Simplifying
0.333(9x + 27) + -4 = 0.5(x + -1) + -6

Reorder the terms:
0.333(27 + 9x) + -4 = 0.5(x + -1) + -6
(27 * 0.333 + 9x * 0.333) + -4 = 0.5(x + -1) + -6
(8.991 + 2.997x) + -4 = 0.5(x + -1) + -6

Reorder the terms:
8.991 + -4 + 2.997x = 0.5(x + -1) + -6

Combine like terms: 8.991 + -4 = 4.991
4.991 + 2.997x = 0.5(x + -1) + -6

Reorder the terms:
4.991 + 2.997x = 0.5(-1 + x) + -6
4.991 + 2.997x = (-1 * 0.5 + x * 0.5) + -6
4.991 + 2.997x = (-0.5 + 0.5x) + -6

Reorder the terms:
4.991 + 2.997x = -0.5 + -6 + 0.5x

Combine like terms: -0.5 + -6 = -6.5
4.991 + 2.997x = -6.5 + 0.5x

Solving
4.991 + 2.997x = -6.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
4.991 + 2.997x + -0.5x = -6.5 + 0.5x + -0.5x

Combine like terms: 2.997x + -0.5x = 2.497x
4.991 + 2.497x = -6.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
4.991 + 2.497x = -6.5 + 0.0
4.991 + 2.497x = -6.5

Add '-4.991' to each side of the equation.
4.991 + -4.991 + 2.497x = -6.5 + -4.991

Combine like terms: 4.991 + -4.991 = 0.000
0.000 + 2.497x = -6.5 + -4.991
2.497x = -6.5 + -4.991

Combine like terms: -6.5 + -4.991 = -11.491
2.497x = -11.491

Divide each side by '2.497'.
x = -4.601922307

Simplifying
x = -4.601922307

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