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

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


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

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

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

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

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

Combine like terms: 4x + -4x = 0
8 + -2x = -8 + 0
8 + -2x = -8

Add '-8' to each side of the equation.
8 + -8 + -2x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -8 + -8
-2x = -8 + -8

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

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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