.5(2x+54)=.33(9x+27)-4

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Solution for .5(2x+54)=.33(9x+27)-4 equation:


Simplifying
0.5(2x + 54) = 0.33(9x + 27) + -4

Reorder the terms:
0.5(54 + 2x) = 0.33(9x + 27) + -4
(54 * 0.5 + 2x * 0.5) = 0.33(9x + 27) + -4
(27 + 1x) = 0.33(9x + 27) + -4

Reorder the terms:
27 + 1x = 0.33(27 + 9x) + -4
27 + 1x = (27 * 0.33 + 9x * 0.33) + -4
27 + 1x = (8.91 + 2.97x) + -4

Reorder the terms:
27 + 1x = 8.91 + -4 + 2.97x

Combine like terms: 8.91 + -4 = 4.91
27 + 1x = 4.91 + 2.97x

Solving
27 + 1x = 4.91 + 2.97x

Solving for variable 'x'.

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

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

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

Combine like terms: 2.97x + -2.97x = 0.00
27 + -1.97x = 4.91 + 0.00
27 + -1.97x = 4.91

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

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

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

Divide each side by '-1.97'.
x = 11.21319797

Simplifying
x = 11.21319797

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