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

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


Simplifying
4 = 4(x + -4) + -1(x + -8)

Reorder the terms:
4 = 4(-4 + x) + -1(x + -8)
4 = (-4 * 4 + x * 4) + -1(x + -8)
4 = (-16 + 4x) + -1(x + -8)

Reorder the terms:
4 = -16 + 4x + -1(-8 + x)
4 = -16 + 4x + (-8 * -1 + x * -1)
4 = -16 + 4x + (8 + -1x)

Reorder the terms:
4 = -16 + 8 + 4x + -1x

Combine like terms: -16 + 8 = -8
4 = -8 + 4x + -1x

Combine like terms: 4x + -1x = 3x
4 = -8 + 3x

Solving
4 = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -3x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -3x = -8 + 0
4 + -3x = -8

Add '-4' to each side of the equation.
4 + -4 + -3x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -8 + -4
-3x = -8 + -4

Combine like terms: -8 + -4 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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