2(4-2x)=-2(x-5)

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Solution for 2(4-2x)=-2(x-5) equation: 


Simplifying
2(4 + -2x) = -2(x + -5)
(4 * 2 + -2x * 2) = -2(x + -5)
(8 + -4x) = -2(x + -5)

Reorder the terms:
8 + -4x = -2(-5 + x)
8 + -4x = (-5 * -2 + x * -2)
8 + -4x = (10 + -2x)

Solving
8 + -4x = 10 + -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 + -4x + 2x = 10 + -2x + 2x

Combine like terms: -4x + 2x = -2x
8 + -2x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -2x = 10 + 0
8 + -2x = 10

Add '-8' to each side of the equation.
8 + -8 + -2x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 10 + -8
-2x = 10 + -8

Combine like terms: 10 + -8 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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