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

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


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

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

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

Solving
48 + 4x = 24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
48 + 4x + 2x = 24 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
48 + 6x = 24 + 0
48 + 6x = 24

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

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

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

Divide each side by '6'.
x = -4

Simplifying
x = -4

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