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

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


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

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

Remove parenthesis around (2 + -4x)
10 + -2x = 2 + -4x

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

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

Combine like terms: -4x + 4x = 0
10 + 2x = 2 + 0
10 + 2x = 2

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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