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

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


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

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

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

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

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

Combine like terms: 4x + -4x = 0
4 + -2x = -16 + 0
4 + -2x = -16

Add '-4' to each side of the equation.
4 + -4 + -2x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -16 + -4
-2x = -16 + -4

Combine like terms: -16 + -4 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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