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

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


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

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

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

Combine like terms: x + -2x = -1x
8 + -1x = 2(x + 2)

Reorder the terms:
8 + -1x = 2(2 + x)
8 + -1x = (2 * 2 + x * 2)
8 + -1x = (4 + 2x)

Solving
8 + -1x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -1x + -2x = 4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
8 + -3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -3x = 4 + 0
8 + -3x = 4

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

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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