32=-2(24-x)+4(x-4)

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Solution for 32=-2(24-x)+4(x-4) equation: 


Simplifying
32 = -2(24 + -1x) + 4(x + -4)
32 = (24 * -2 + -1x * -2) + 4(x + -4)
32 = (-48 + 2x) + 4(x + -4)

Reorder the terms:
32 = -48 + 2x + 4(-4 + x)
32 = -48 + 2x + (-4 * 4 + x * 4)
32 = -48 + 2x + (-16 + 4x)

Reorder the terms:
32 = -48 + -16 + 2x + 4x

Combine like terms: -48 + -16 = -64
32 = -64 + 2x + 4x

Combine like terms: 2x + 4x = 6x
32 = -64 + 6x

Solving
32 = -64 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + -6x = -64 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -6x = -64 + 0
32 + -6x = -64

Add '-32' to each side of the equation.
32 + -32 + -6x = -64 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -64 + -32
-6x = -64 + -32

Combine like terms: -64 + -32 = -96
-6x = -96

Divide each side by '-6'.
x = 16

Simplifying
x = 16

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