0.33(9x+27)-4=0.50(2x+54)

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Solution for 0.33(9x+27)-4=0.50(2x+54) equation: 


Simplifying
0.33(9x + 27) + -4 = 0.50(2x + 54)

Reorder the terms:
0.33(27 + 9x) + -4 = 0.50(2x + 54)
(27 * 0.33 + 9x * 0.33) + -4 = 0.50(2x + 54)
(8.91 + 2.97x) + -4 = 0.50(2x + 54)

Reorder the terms:
8.91 + -4 + 2.97x = 0.50(2x + 54)

Combine like terms: 8.91 + -4 = 4.91
4.91 + 2.97x = 0.50(2x + 54)

Reorder the terms:
4.91 + 2.97x = 0.50(54 + 2x)
4.91 + 2.97x = (54 * 0.50 + 2x * 0.50)
4.91 + 2.97x = (27 + 1x)

Solving
4.91 + 2.97x = 27 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4.91 + 2.97x + -1x = 27 + 1x + -1x

Combine like terms: 2.97x + -1x = 1.97x
4.91 + 1.97x = 27 + 1x + -1x

Combine like terms: 1x + -1x = 0
4.91 + 1.97x = 27 + 0
4.91 + 1.97x = 27

Add '-4.91' to each side of the equation.
4.91 + -4.91 + 1.97x = 27 + -4.91

Combine like terms: 4.91 + -4.91 = 0.00
0.00 + 1.97x = 27 + -4.91
1.97x = 27 + -4.91

Combine like terms: 27 + -4.91 = 22.09
1.97x = 22.09

Divide each side by '1.97'.
x = 11.21319797

Simplifying
x = 11.21319797

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