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

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


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

Reorder the terms:
8 = -4(-2 + x) + 8(x + -4)
8 = (-2 * -4 + x * -4) + 8(x + -4)
8 = (8 + -4x) + 8(x + -4)

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

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

Combine like terms: 8 + -32 = -24
8 = -24 + -4x + 8x

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

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

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

Add '-8' to each side of the equation.
8 + -8 + -4x = -24 + -8

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

Combine like terms: -24 + -8 = -32
-4x = -32

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

Simplifying
x = 8

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