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

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Solution for 3(x+6)=-2x-12 equation:


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

Reorder the terms:
3(6 + x) = -2x + -12
(6 * 3 + x * 3) = -2x + -12
(18 + 3x) = -2x + -12

Reorder the terms:
18 + 3x = -12 + -2x

Solving
18 + 3x = -12 + -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.
18 + 3x + 2x = -12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
18 + 5x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
18 + 5x = -12 + 0
18 + 5x = -12

Add '-18' to each side of the equation.
18 + -18 + 5x = -12 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = -12 + -18
5x = -12 + -18

Combine like terms: -12 + -18 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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