12-(2x+8)=(x-16)

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Solution for 12-(2x+8)=(x-16) equation:


Simplifying
12 + -1(2x + 8) = (x + -16)

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

Combine like terms: 12 + -8 = 4
4 + -2x = (x + -16)

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

Remove parenthesis around (-16 + x)
4 + -2x = -16 + x

Solving
4 + -2x = -16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -2x + -1x = -16 + x + -1x

Combine like terms: -2x + -1x = -3x
4 + -3x = -16 + x + -1x

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

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

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

Combine like terms: -16 + -4 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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