2(x-4)=-4(x+8)

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Solution for 2(x-4)=-4(x+8) equation:


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

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

Reorder the terms:
-8 + 2x = -4(8 + x)
-8 + 2x = (8 * -4 + x * -4)
-8 + 2x = (-32 + -4x)

Solving
-8 + 2x = -32 + -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.
-8 + 2x + 4x = -32 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-8 + 6x = -32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 6x = -32 + 0
-8 + 6x = -32

Add '8' to each side of the equation.
-8 + 8 + 6x = -32 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = -32 + 8
6x = -32 + 8

Combine like terms: -32 + 8 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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