4(8-2x)=-6x+4(x-4)

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Solution for 4(8-2x)=-6x+4(x-4) equation: 


Simplifying
4(8 + -2x) = -6x + 4(x + -4)
(8 * 4 + -2x * 4) = -6x + 4(x + -4)
(32 + -8x) = -6x + 4(x + -4)

Reorder the terms:
32 + -8x = -6x + 4(-4 + x)
32 + -8x = -6x + (-4 * 4 + x * 4)
32 + -8x = -6x + (-16 + 4x)

Reorder the terms:
32 + -8x = -16 + -6x + 4x

Combine like terms: -6x + 4x = -2x
32 + -8x = -16 + -2x

Solving
32 + -8x = -16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
32 + -8x + 2x = -16 + -2x + 2x

Combine like terms: -8x + 2x = -6x
32 + -6x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + -6x = -16 + 0
32 + -6x = -16

Add '-32' to each side of the equation.
32 + -32 + -6x = -16 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -16 + -32
-6x = -16 + -32

Combine like terms: -16 + -32 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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