2(x-1)=-4x+16

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Solution for 2(x-1)=-4x+16 equation:


Simplifying
2(x + -1) = -4x + 16

Reorder the terms:
2(-1 + x) = -4x + 16
(-1 * 2 + x * 2) = -4x + 16
(-2 + 2x) = -4x + 16

Reorder the terms:
-2 + 2x = 16 + -4x

Solving
-2 + 2x = 16 + -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.
-2 + 2x + 4x = 16 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-2 + 6x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 6x = 16 + 0
-2 + 6x = 16

Add '2' to each side of the equation.
-2 + 2 + 6x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 16 + 2
6x = 16 + 2

Combine like terms: 16 + 2 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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