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

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


Simplifying
-2(X + -4) + 8 = 4 + -1(X + 2)

Reorder the terms:
-2(-4 + X) + 8 = 4 + -1(X + 2)
(-4 * -2 + X * -2) + 8 = 4 + -1(X + 2)
(8 + -2X) + 8 = 4 + -1(X + 2)

Reorder the terms:
8 + 8 + -2X = 4 + -1(X + 2)

Combine like terms: 8 + 8 = 16
16 + -2X = 4 + -1(X + 2)

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

Combine like terms: 4 + -2 = 2
16 + -2X = 2 + -1X

Solving
16 + -2X = 2 + -1X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add 'X' to each side of the equation.
16 + -2X + X = 2 + -1X + X

Combine like terms: -2X + X = -1X
16 + -1X = 2 + -1X + X

Combine like terms: -1X + X = 0
16 + -1X = 2 + 0
16 + -1X = 2

Add '-16' to each side of the equation.
16 + -16 + -1X = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -1X = 2 + -16
-1X = 2 + -16

Combine like terms: 2 + -16 = -14
-1X = -14

Divide each side by '-1'.
X = 14

Simplifying
X = 14

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