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

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = 3

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