3(x+4)=-3x-12

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Solution for 3(x+4)=-3x-12 equation:


Simplifying
3(x + 4) = -3x + -12

Reorder the terms:
3(4 + x) = -3x + -12
(4 * 3 + x * 3) = -3x + -12
(12 + 3x) = -3x + -12

Reorder the terms:
12 + 3x = -12 + -3x

Solving
12 + 3x = -12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + 3x + 3x = -12 + -3x + 3x

Combine like terms: 3x + 3x = 6x
12 + 6x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 6x = -12 + 0
12 + 6x = -12

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

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

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

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

Simplifying
x = -4

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