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

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


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

Reorder the terms:
2(12 + x) = -4(x + -12)
(12 * 2 + x * 2) = -4(x + -12)
(24 + 2x) = -4(x + -12)

Reorder the terms:
24 + 2x = -4(-12 + x)
24 + 2x = (-12 * -4 + x * -4)
24 + 2x = (48 + -4x)

Solving
24 + 2x = 48 + -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.
24 + 2x + 4x = 48 + -4x + 4x

Combine like terms: 2x + 4x = 6x
24 + 6x = 48 + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 6x = 48 + 0
24 + 6x = 48

Add '-24' to each side of the equation.
24 + -24 + 6x = 48 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 48 + -24
6x = 48 + -24

Combine like terms: 48 + -24 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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