2(4-x)=4(x-4)

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


Simplifying
2(4 + -1x) = 4(x + -4)
(4 * 2 + -1x * 2) = 4(x + -4)
(8 + -2x) = 4(x + -4)

Reorder the terms:
8 + -2x = 4(-4 + x)
8 + -2x = (-4 * 4 + x * 4)
8 + -2x = (-16 + 4x)

Solving
8 + -2x = -16 + 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 + -2x + -4x = -16 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -6x = -16 + 0
8 + -6x = -16

Add '-8' to each side of the equation.
8 + -8 + -6x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -16 + -8
-6x = -16 + -8

Combine like terms: -16 + -8 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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