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

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


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

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

Remove parenthesis around (3 + x)
3 + x = -2(x + 6)

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

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

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

Combine like terms: -2x + 2x = 0
3 + 3x = -12 + 0
3 + 3x = -12

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

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

Combine like terms: -12 + -3 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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