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

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


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

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

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

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

Combine like terms: -16 + -8 = -24
8 + -4x = -24 + 4x

Solving
8 + -4x = -24 + 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.
8 + -4x + -4x = -24 + 4x + -4x

Combine like terms: -4x + -4x = -8x
8 + -8x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -8x = -24 + 0
8 + -8x = -24

Add '-8' to each side of the equation.
8 + -8 + -8x = -24 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = -24 + -8
-8x = -24 + -8

Combine like terms: -24 + -8 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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