-4(x-4)=4(x+8)

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Solution for -4(x-4)=4(x+8) equation: 


Simplifying
-4(x + -4) = 4(x + 8)

Reorder the terms:
-4(-4 + x) = 4(x + 8)
(-4 * -4 + x * -4) = 4(x + 8)
(16 + -4x) = 4(x + 8)

Reorder the terms:
16 + -4x = 4(8 + x)
16 + -4x = (8 * 4 + x * 4)
16 + -4x = (32 + 4x)

Solving
16 + -4x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + -4x + -4x = 32 + 4x + -4x

Combine like terms: -4x + -4x = -8x
16 + -8x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -8x = 32 + 0
16 + -8x = 32

Add '-16' to each side of the equation.
16 + -16 + -8x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 32 + -16
-8x = 32 + -16

Combine like terms: 32 + -16 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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