(12)(x-2)=(6)(x+2)

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Solution for (12)(x-2)=(6)(x+2) equation:


Simplifying
(12)(x + -2) = (6)(x + 2)

Reorder the terms:
12(-2 + x) = (6)(x + 2)
(-2 * 12 + x * 12) = (6)(x + 2)
(-24 + 12x) = (6)(x + 2)

Reorder the terms:
-24 + 12x = 6(2 + x)
-24 + 12x = (2 * 6 + x * 6)
-24 + 12x = (12 + 6x)

Solving
-24 + 12x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + 12x + -6x = 12 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-24 + 6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + 6x = 12 + 0
-24 + 6x = 12

Add '24' to each side of the equation.
-24 + 24 + 6x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 6x = 12 + 24
6x = 12 + 24

Combine like terms: 12 + 24 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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