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

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


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

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

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

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

Solving
16 + -4x = 4 + -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 + -4x + x = 4 + -1x + x

Combine like terms: -4x + x = -3x
16 + -3x = 4 + -1x + x

Combine like terms: -1x + x = 0
16 + -3x = 4 + 0
16 + -3x = 4

Add '-16' to each side of the equation.
16 + -16 + -3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 4 + -16
-3x = 4 + -16

Combine like terms: 4 + -16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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