0.33333333333(9x+27)-4=.5(2x+54)

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Solution for 0.33333333333(9x+27)-4=.5(2x+54) equation:


Simplifying
0.33333333333(9x + 27) + -4 = 0.5(2x + 54)

Reorder the terms:
0.33333333333(27 + 9x) + -4 = 0.5(2x + 54)
(27 * 0.33333333333 + 9x * 0.33333333333) + -4 = 0.5(2x + 54)
(9 + 3x) + -4 = 0.5(2x + 54)

Reorder the terms:
9 + -4 + 3x = 0.5(2x + 54)

Combine like terms: 9 + -4 = 5
5 + 3x = 0.5(2x + 54)

Reorder the terms:
5 + 3x = 0.5(54 + 2x)
5 + 3x = (54 * 0.5 + 2x * 0.5)
5 + 3x = (27 + 1x)

Solving
5 + 3x = 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.
5 + 3x + -1x = 27 + 1x + -1x

Combine like terms: 3x + -1x = 2x
5 + 2x = 27 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 2x = 27 + 0
5 + 2x = 27

Add '-5' to each side of the equation.
5 + -5 + 2x = 27 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 27 + -5
2x = 27 + -5

Combine like terms: 27 + -5 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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