2(x-2)-12=14-4x

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Solution for 2(x-2)-12=14-4x equation:


Simplifying
2(x + -2) + -12 = 14 + -4x

Reorder the terms:
2(-2 + x) + -12 = 14 + -4x
(-2 * 2 + x * 2) + -12 = 14 + -4x
(-4 + 2x) + -12 = 14 + -4x

Reorder the terms:
-4 + -12 + 2x = 14 + -4x

Combine like terms: -4 + -12 = -16
-16 + 2x = 14 + -4x

Solving
-16 + 2x = 14 + -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 = 14 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-16 + 6x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 6x = 14 + 0
-16 + 6x = 14

Add '16' to each side of the equation.
-16 + 16 + 6x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 14 + 16
6x = 14 + 16

Combine like terms: 14 + 16 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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