32(28-5.5x)=16(5x-5)+28.8

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Solution for 32(28-5.5x)=16(5x-5)+28.8 equation: 


Simplifying
32(28 + -5.5x) = 16(5x + -5) + 28.8
(28 * 32 + -5.5x * 32) = 16(5x + -5) + 28.8
(896 + -176x) = 16(5x + -5) + 28.8

Reorder the terms:
896 + -176x = 16(-5 + 5x) + 28.8
896 + -176x = (-5 * 16 + 5x * 16) + 28.8
896 + -176x = (-80 + 80x) + 28.8

Reorder the terms:
896 + -176x = -80 + 28.8 + 80x

Combine like terms: -80 + 28.8 = -51.2
896 + -176x = -51.2 + 80x

Solving
896 + -176x = -51.2 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
896 + -176x + -80x = -51.2 + 80x + -80x

Combine like terms: -176x + -80x = -256x
896 + -256x = -51.2 + 80x + -80x

Combine like terms: 80x + -80x = 0
896 + -256x = -51.2 + 0
896 + -256x = -51.2

Add '-896' to each side of the equation.
896 + -896 + -256x = -51.2 + -896

Combine like terms: 896 + -896 = 0
0 + -256x = -51.2 + -896
-256x = -51.2 + -896

Combine like terms: -51.2 + -896 = -947.2
-256x = -947.2

Divide each side by '-256'.
x = 3.7

Simplifying
x = 3.7

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