32(27-6.5x)=12(6x-9)+48.0

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Solution for 32(27-6.5x)=12(6x-9)+48.0 equation: 


Simplifying
32(27 + -6.5x) = 12(6x + -9) + 48.0
(27 * 32 + -6.5x * 32) = 12(6x + -9) + 48.0
(864 + -208x) = 12(6x + -9) + 48.0

Reorder the terms:
864 + -208x = 12(-9 + 6x) + 48.0
864 + -208x = (-9 * 12 + 6x * 12) + 48.0
864 + -208x = (-108 + 72x) + 48.0

Reorder the terms:
864 + -208x = -108 + 48.0 + 72x

Combine like terms: -108 + 48.0 = -60
864 + -208x = -60 + 72x

Solving
864 + -208x = -60 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
864 + -208x + -72x = -60 + 72x + -72x

Combine like terms: -208x + -72x = -280x
864 + -280x = -60 + 72x + -72x

Combine like terms: 72x + -72x = 0
864 + -280x = -60 + 0
864 + -280x = -60

Add '-864' to each side of the equation.
864 + -864 + -280x = -60 + -864

Combine like terms: 864 + -864 = 0
0 + -280x = -60 + -864
-280x = -60 + -864

Combine like terms: -60 + -864 = -924
-280x = -924

Divide each side by '-280'.
x = 3.3

Simplifying
x = 3.3

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