32(14-4.5x)=12(4x-7)+32.8

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Solution for 32(14-4.5x)=12(4x-7)+32.8 equation: 


Simplifying
32(14 + -4.5x) = 12(4x + -7) + 32.8
(14 * 32 + -4.5x * 32) = 12(4x + -7) + 32.8
(448 + -144x) = 12(4x + -7) + 32.8

Reorder the terms:
448 + -144x = 12(-7 + 4x) + 32.8
448 + -144x = (-7 * 12 + 4x * 12) + 32.8
448 + -144x = (-84 + 48x) + 32.8

Reorder the terms:
448 + -144x = -84 + 32.8 + 48x

Combine like terms: -84 + 32.8 = -51.2
448 + -144x = -51.2 + 48x

Solving
448 + -144x = -51.2 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
448 + -144x + -48x = -51.2 + 48x + -48x

Combine like terms: -144x + -48x = -192x
448 + -192x = -51.2 + 48x + -48x

Combine like terms: 48x + -48x = 0
448 + -192x = -51.2 + 0
448 + -192x = -51.2

Add '-448' to each side of the equation.
448 + -448 + -192x = -51.2 + -448

Combine like terms: 448 + -448 = 0
0 + -192x = -51.2 + -448
-192x = -51.2 + -448

Combine like terms: -51.2 + -448 = -499.2
-192x = -499.2

Divide each side by '-192'.
x = 2.6

Simplifying
x = 2.6

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