x-(1.6x-2(x-3.2(x+12)))=0

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Solution for x-(1.6x-2(x-3.2(x+12)))=0 equation: 


Simplifying
x + -1(1.6x + -2(x + -3.2(x + 12))) = 0

Reorder the terms:
x + -1(1.6x + -2(x + -3.2(12 + x))) = 0
x + -1(1.6x + -2(x + (12 * -3.2 + x * -3.2))) = 0
x + -1(1.6x + -2(x + (-38.4 + -3.2x))) = 0

Reorder the terms:
x + -1(1.6x + -2(-38.4 + x + -3.2x)) = 0

Combine like terms: x + -3.2x = -2.2x
x + -1(1.6x + -2(-38.4 + -2.2x)) = 0
x + -1(1.6x + (-38.4 * -2 + -2.2x * -2)) = 0
x + -1(1.6x + (76.8 + 4.4x)) = 0

Reorder the terms:
x + -1(76.8 + 1.6x + 4.4x) = 0

Combine like terms: 1.6x + 4.4x = 6x
x + -1(76.8 + 6x) = 0
x + (76.8 * -1 + 6x * -1) = 0
x + (-76.8 + -6x) = 0

Reorder the terms:
-76.8 + x + -6x = 0

Combine like terms: x + -6x = -5x
-76.8 + -5x = 0

Solving
-76.8 + -5x = 0

Solving for variable 'x'.

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

Add '76.8' to each side of the equation.
-76.8 + 76.8 + -5x = 0 + 76.8

Combine like terms: -76.8 + 76.8 = 0.0
0.0 + -5x = 0 + 76.8
-5x = 0 + 76.8

Combine like terms: 0 + 76.8 = 76.8
-5x = 76.8

Divide each side by '-5'.
x = -15.36

Simplifying
x = -15.36

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