-2(x-8)=4(3-x)

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Solution for -2(x-8)=4(3-x) equation: 


Simplifying
-2(x + -8) = 4(3 + -1x)

Reorder the terms:
-2(-8 + x) = 4(3 + -1x)
(-8 * -2 + x * -2) = 4(3 + -1x)
(16 + -2x) = 4(3 + -1x)
16 + -2x = (3 * 4 + -1x * 4)
16 + -2x = (12 + -4x)

Solving
16 + -2x = 12 + -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.
16 + -2x + 4x = 12 + -4x + 4x

Combine like terms: -2x + 4x = 2x
16 + 2x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 2x = 12 + 0
16 + 2x = 12

Add '-16' to each side of the equation.
16 + -16 + 2x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 12 + -16
2x = 12 + -16

Combine like terms: 12 + -16 = -4
2x = -4

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

Simplifying
x = -2

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